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Finding the Fourth Proportional to 5,666.18, 8,498.67 and 3,473.78

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Solution

The fourth proportional to 5,666.18, 8,498.67 and 3,473.78 is: 5,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.18 : 8,498.67 = 3,473.78 : x
  2. Step 2: Convert to fraction form
    5,666.18/8,498.67 = 3,473.78/x
  3. Step 3: Cross multiply
    5,666.18x = 8,498.67 × 3,473.78
  4. Step 4: Simplify right side
    5,666.18x = 29,522,509.87
  5. Step 5: Solve for x
    x = 29,522,509.87/5,666.18
  6. Step 6: Final answer
    x = 5,210.30

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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.