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Finding the Fourth Proportional to 3,714.96, 5,572.61 and 1,522.15

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Solution

The fourth proportional to 3,714.96, 5,572.61 and 1,522.15 is: 2,283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.96 : 5,572.61 = 1,522.15 : x
  2. Step 2: Convert to fraction form
    3,714.96/5,572.61 = 1,522.15/x
  3. Step 3: Cross multiply
    3,714.96x = 5,572.61 × 1,522.15
  4. Step 4: Simplify right side
    3,714.96x = 8,482,326.77
  5. Step 5: Solve for x
    x = 8,482,326.77/3,714.96
  6. Step 6: Final answer
    x = 2,283.29

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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.