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Finding the Fourth Proportional to 4,686.60, 6,470.49 and 2,920.80

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Solution

The fourth proportional to 4,686.60, 6,470.49 and 2,920.80 is: 4,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.60 : 6,470.49 = 2,920.80 : x
  2. Step 2: Convert to fraction form
    4,686.60/6,470.49 = 2,920.80/x
  3. Step 3: Cross multiply
    4,686.60x = 6,470.49 × 2,920.80
  4. Step 4: Simplify right side
    4,686.60x = 18,899,007.19
  5. Step 5: Solve for x
    x = 18,899,007.19/4,686.60
  6. Step 6: Final answer
    x = 4,032.56

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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.