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Finding the Fourth Proportional to 4,572.33, 6,847.56 and 4,342.70

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Solution

The fourth proportional to 4,572.33, 6,847.56 and 4,342.70 is: 6,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.33 : 6,847.56 = 4,342.70 : x
  2. Step 2: Convert to fraction form
    4,572.33/6,847.56 = 4,342.70/x
  3. Step 3: Cross multiply
    4,572.33x = 6,847.56 × 4,342.70
  4. Step 4: Simplify right side
    4,572.33x = 29,736,864.57
  5. Step 5: Solve for x
    x = 29,736,864.57/4,572.33
  6. Step 6: Final answer
    x = 6,503.66

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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.