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Finding the Fourth Proportional to 4,709.57, 6,499.14 and 2,720.08

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Solution

The fourth proportional to 4,709.57, 6,499.14 and 2,720.08 is: 3,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.57 : 6,499.14 = 2,720.08 : x
  2. Step 2: Convert to fraction form
    4,709.57/6,499.14 = 2,720.08/x
  3. Step 3: Cross multiply
    4,709.57x = 6,499.14 × 2,720.08
  4. Step 4: Simplify right side
    4,709.57x = 17,678,180.73
  5. Step 5: Solve for x
    x = 17,678,180.73/4,709.57
  6. Step 6: Final answer
    x = 3,753.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.