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Finding the Fourth Proportional to 5,930.52, 8,178.22 and 4,603.76

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Solution

The fourth proportional to 5,930.52, 8,178.22 and 4,603.76 is: 6,348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.52 : 8,178.22 = 4,603.76 : x
  2. Step 2: Convert to fraction form
    5,930.52/8,178.22 = 4,603.76/x
  3. Step 3: Cross multiply
    5,930.52x = 8,178.22 × 4,603.76
  4. Step 4: Simplify right side
    5,930.52x = 37,650,562.11
  5. Step 5: Solve for x
    x = 37,650,562.11/5,930.52
  6. Step 6: Final answer
    x = 6,348.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.