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Finding the Fourth Proportional to 5,062.78, 7,594.44 and 4,785.76

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Solution

The fourth proportional to 5,062.78, 7,594.44 and 4,785.76 is: 7,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.78 : 7,594.44 = 4,785.76 : x
  2. Step 2: Convert to fraction form
    5,062.78/7,594.44 = 4,785.76/x
  3. Step 3: Cross multiply
    5,062.78x = 7,594.44 × 4,785.76
  4. Step 4: Simplify right side
    5,062.78x = 36,345,167.17
  5. Step 5: Solve for x
    x = 36,345,167.17/5,062.78
  6. Step 6: Final answer
    x = 7,178.90

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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.