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Finding the Fourth Proportional to 4,458.57, 6,155.15 and 4,164.09

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Solution

The fourth proportional to 4,458.57, 6,155.15 and 4,164.09 is: 5,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.57 : 6,155.15 = 4,164.09 : x
  2. Step 2: Convert to fraction form
    4,458.57/6,155.15 = 4,164.09/x
  3. Step 3: Cross multiply
    4,458.57x = 6,155.15 × 4,164.09
  4. Step 4: Simplify right side
    4,458.57x = 25,630,577.74
  5. Step 5: Solve for x
    x = 25,630,577.74/4,458.57
  6. Step 6: Final answer
    x = 5,748.61

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