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Finding the Fourth Proportional to 3,657.66, 5,488.72 and 1,710

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Solution

The fourth proportional to 3,657.66, 5,488.72 and 1,710 is: 2,566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.66 : 5,488.72 = 1,710 : x
  2. Step 2: Convert to fraction form
    3,657.66/5,488.72 = 1,710/x
  3. Step 3: Cross multiply
    3,657.66x = 5,488.72 × 1,710
  4. Step 4: Simplify right side
    3,657.66x = 9,385,711.20
  5. Step 5: Solve for x
    x = 9,385,711.20/3,657.66
  6. Step 6: Final answer
    x = 2,566.04

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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.