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Finding the Fourth Proportional to 5,740.80, 8,565.24 and 5,117.10

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Solution

The fourth proportional to 5,740.80, 8,565.24 and 5,117.10 is: 7,634.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.80 : 8,565.24 = 5,117.10 : x
  2. Step 2: Convert to fraction form
    5,740.80/8,565.24 = 5,117.10/x
  3. Step 3: Cross multiply
    5,740.80x = 8,565.24 × 5,117.10
  4. Step 4: Simplify right side
    5,740.80x = 43,829,189.60
  5. Step 5: Solve for x
    x = 43,829,189.60/5,740.80
  6. Step 6: Final answer
    x = 7,634.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.