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Finding the Fourth Proportional to 5,151.07, 7,708.13 and 4,460.12

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Solution

The fourth proportional to 5,151.07, 7,708.13 and 4,460.12 is: 6,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.07 : 7,708.13 = 4,460.12 : x
  2. Step 2: Convert to fraction form
    5,151.07/7,708.13 = 4,460.12/x
  3. Step 3: Cross multiply
    5,151.07x = 7,708.13 × 4,460.12
  4. Step 4: Simplify right side
    5,151.07x = 34,379,123.93
  5. Step 5: Solve for x
    x = 34,379,123.93/5,151.07
  6. Step 6: Final answer
    x = 6,674.17

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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.