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Finding the Fourth Proportional to 4,702.60, 6,495.78 and 3,920.68

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Solution

The fourth proportional to 4,702.60, 6,495.78 and 3,920.68 is: 5,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.60 : 6,495.78 = 3,920.68 : x
  2. Step 2: Convert to fraction form
    4,702.60/6,495.78 = 3,920.68/x
  3. Step 3: Cross multiply
    4,702.60x = 6,495.78 × 3,920.68
  4. Step 4: Simplify right side
    4,702.60x = 25,467,874.73
  5. Step 5: Solve for x
    x = 25,467,874.73/4,702.60
  6. Step 6: Final answer
    x = 5,415.70

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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.