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Finding the Fourth Proportional to 5,630,070.82, 7,769,289.60 and 3,051,696.22

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Solution

The fourth proportional to 5,630,070.82, 7,769,289.60 and 3,051,696.22 is: 4,211,227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630,070.82 : 7,769,289.60 = 3,051,696.22 : x
  2. Step 2: Convert to fraction form
    5,630,070.82/7,769,289.60 = 3,051,696.22/x
  3. Step 3: Cross multiply
    5,630,070.82x = 7,769,289.60 × 3,051,696.22
  4. Step 4: Simplify right side
    5,630,070.82x = 23,709,511,704,405.31
  5. Step 5: Solve for x
    x = 23,709,511,704,405.31/5,630,070.82
  6. Step 6: Final answer
    x = 4,211,227.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.