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Finding the Fourth Proportional to 4,869.96, 7,306.78 and 2,923.52

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Solution

The fourth proportional to 4,869.96, 7,306.78 and 2,923.52 is: 4,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.96 : 7,306.78 = 2,923.52 : x
  2. Step 2: Convert to fraction form
    4,869.96/7,306.78 = 2,923.52/x
  3. Step 3: Cross multiply
    4,869.96x = 7,306.78 × 2,923.52
  4. Step 4: Simplify right side
    4,869.96x = 21,361,517.47
  5. Step 5: Solve for x
    x = 21,361,517.47/4,869.96
  6. Step 6: Final answer
    x = 4,386.38

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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.