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Finding the Fourth Proportional to 4,088, 5,641.60 and 2,432.96

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Solution

The fourth proportional to 4,088, 5,641.60 and 2,432.96 is: 3,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088 : 5,641.60 = 2,432.96 : x
  2. Step 2: Convert to fraction form
    4,088/5,641.60 = 2,432.96/x
  3. Step 3: Cross multiply
    4,088x = 5,641.60 × 2,432.96
  4. Step 4: Simplify right side
    4,088x = 13,725,787.14
  5. Step 5: Solve for x
    x = 13,725,787.14/4,088
  6. Step 6: Final answer
    x = 3,357.58

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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.