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Finding the Fourth Proportional to 4,064.88, 6,097.53 and 1,291.76

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Solution

The fourth proportional to 4,064.88, 6,097.53 and 1,291.76 is: 1,937.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.88 : 6,097.53 = 1,291.76 : x
  2. Step 2: Convert to fraction form
    4,064.88/6,097.53 = 1,291.76/x
  3. Step 3: Cross multiply
    4,064.88x = 6,097.53 × 1,291.76
  4. Step 4: Simplify right side
    4,064.88x = 7,876,569.61
  5. Step 5: Solve for x
    x = 7,876,569.61/4,064.88
  6. Step 6: Final answer
    x = 1,937.71

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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.