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Finding the Fourth Proportional to 3,532.96, 4,875.54 and 2,041.18

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Solution

The fourth proportional to 3,532.96, 4,875.54 and 2,041.18 is: 2,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.96 : 4,875.54 = 2,041.18 : x
  2. Step 2: Convert to fraction form
    3,532.96/4,875.54 = 2,041.18/x
  3. Step 3: Cross multiply
    3,532.96x = 4,875.54 × 2,041.18
  4. Step 4: Simplify right side
    3,532.96x = 9,951,854.74
  5. Step 5: Solve for x
    x = 9,951,854.74/3,532.96
  6. Step 6: Final answer
    x = 2,816.86

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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.