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Finding the Fourth Proportional to 4,641.92, 6,405.76 and 2,625.31

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Solution

The fourth proportional to 4,641.92, 6,405.76 and 2,625.31 is: 3,622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.92 : 6,405.76 = 2,625.31 : x
  2. Step 2: Convert to fraction form
    4,641.92/6,405.76 = 2,625.31/x
  3. Step 3: Cross multiply
    4,641.92x = 6,405.76 × 2,625.31
  4. Step 4: Simplify right side
    4,641.92x = 16,817,105.79
  5. Step 5: Solve for x
    x = 16,817,105.79/4,641.92
  6. Step 6: Final answer
    x = 3,622.88

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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.