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Finding the Fourth Proportional to 5,151.70, 7,709.05 and 4,460.73

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Solution

The fourth proportional to 5,151.70, 7,709.05 and 4,460.73 is: 6,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.70 : 7,709.05 = 4,460.73 : x
  2. Step 2: Convert to fraction form
    5,151.70/7,709.05 = 4,460.73/x
  3. Step 3: Cross multiply
    5,151.70x = 7,709.05 × 4,460.73
  4. Step 4: Simplify right side
    5,151.70x = 34,387,990.61
  5. Step 5: Solve for x
    x = 34,387,990.61/5,151.70
  6. Step 6: Final answer
    x = 6,675.08

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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.