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Finding the Fourth Proportional to 3,740.40, 5,610.48 and 1,143.12

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Solution

The fourth proportional to 3,740.40, 5,610.48 and 1,143.12 is: 1,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.40 : 5,610.48 = 1,143.12 : x
  2. Step 2: Convert to fraction form
    3,740.40/5,610.48 = 1,143.12/x
  3. Step 3: Cross multiply
    3,740.40x = 5,610.48 × 1,143.12
  4. Step 4: Simplify right side
    3,740.40x = 6,413,451.90
  5. Step 5: Solve for x
    x = 6,413,451.90/3,740.40
  6. Step 6: Final answer
    x = 1,714.64

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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.