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Finding the Fourth Proportional to 5,709.71, 8,560.47 and 2,421.01

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Solution

The fourth proportional to 5,709.71, 8,560.47 and 2,421.01 is: 3,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.71 : 8,560.47 = 2,421.01 : x
  2. Step 2: Convert to fraction form
    5,709.71/8,560.47 = 2,421.01/x
  3. Step 3: Cross multiply
    5,709.71x = 8,560.47 × 2,421.01
  4. Step 4: Simplify right side
    5,709.71x = 20,724,983.47
  5. Step 5: Solve for x
    x = 20,724,983.47/5,709.71
  6. Step 6: Final answer
    x = 3,629.78

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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.