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Finding the Fourth Proportional to 4,307.70, 6,460.92 and 1,385.62

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Solution

The fourth proportional to 4,307.70, 6,460.92 and 1,385.62 is: 2,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.70 : 6,460.92 = 1,385.62 : x
  2. Step 2: Convert to fraction form
    4,307.70/6,460.92 = 1,385.62/x
  3. Step 3: Cross multiply
    4,307.70x = 6,460.92 × 1,385.62
  4. Step 4: Simplify right side
    4,307.70x = 8,952,379.97
  5. Step 5: Solve for x
    x = 8,952,379.97/4,307.70
  6. Step 6: Final answer
    x = 2,078.23

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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.