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Finding the Fourth Proportional to 4,747.52, 7,122.18 and 1,460.90

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Solution

The fourth proportional to 4,747.52, 7,122.18 and 1,460.90 is: 2,191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.52 : 7,122.18 = 1,460.90 : x
  2. Step 2: Convert to fraction form
    4,747.52/7,122.18 = 1,460.90/x
  3. Step 3: Cross multiply
    4,747.52x = 7,122.18 × 1,460.90
  4. Step 4: Simplify right side
    4,747.52x = 10,404,792.76
  5. Step 5: Solve for x
    x = 10,404,792.76/4,747.52
  6. Step 6: Final answer
    x = 2,191.63

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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.