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Finding the Fourth Proportional to 5,740.71, 8,612.01 and 2,042.16

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Solution

The fourth proportional to 5,740.71, 8,612.01 and 2,042.16 is: 3,063.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.71 : 8,612.01 = 2,042.16 : x
  2. Step 2: Convert to fraction form
    5,740.71/8,612.01 = 2,042.16/x
  3. Step 3: Cross multiply
    5,740.71x = 8,612.01 × 2,042.16
  4. Step 4: Simplify right side
    5,740.71x = 17,587,102.34
  5. Step 5: Solve for x
    x = 17,587,102.34/5,740.71
  6. Step 6: Final answer
    x = 3,063.58

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