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Finding the Fourth Proportional to 5,652.74, 8,472 and 4,009.70

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Solution

The fourth proportional to 5,652.74, 8,472 and 4,009.70 is: 6,009.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.74 : 8,472 = 4,009.70 : x
  2. Step 2: Convert to fraction form
    5,652.74/8,472 = 4,009.70/x
  3. Step 3: Cross multiply
    5,652.74x = 8,472 × 4,009.70
  4. Step 4: Simplify right side
    5,652.74x = 33,970,178.40
  5. Step 5: Solve for x
    x = 33,970,178.40/5,652.74
  6. Step 6: Final answer
    x = 6,009.51

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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.