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Finding the Fourth Proportional to 4,975.08, 7,458.87 and 4,289.82

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Solution

The fourth proportional to 4,975.08, 7,458.87 and 4,289.82 is: 6,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.08 : 7,458.87 = 4,289.82 : x
  2. Step 2: Convert to fraction form
    4,975.08/7,458.87 = 4,289.82/x
  3. Step 3: Cross multiply
    4,975.08x = 7,458.87 × 4,289.82
  4. Step 4: Simplify right side
    4,975.08x = 31,997,209.70
  5. Step 5: Solve for x
    x = 31,997,209.70/4,975.08
  6. Step 6: Final answer
    x = 6,431.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.