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Finding the Fourth Proportional to 6,470.39, 8,929.16 and 3,675.89

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Solution

The fourth proportional to 6,470.39, 8,929.16 and 3,675.89 is: 5,072.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.39 : 8,929.16 = 3,675.89 : x
  2. Step 2: Convert to fraction form
    6,470.39/8,929.16 = 3,675.89/x
  3. Step 3: Cross multiply
    6,470.39x = 8,929.16 × 3,675.89
  4. Step 4: Simplify right side
    6,470.39x = 32,822,546.93
  5. Step 5: Solve for x
    x = 32,822,546.93/6,470.39
  6. Step 6: Final answer
    x = 5,072.73

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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.