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Finding the Fourth Proportional to 4,724.34, 7,081.02 and 4,177.58

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Solution

The fourth proportional to 4,724.34, 7,081.02 and 4,177.58 is: 6,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.34 : 7,081.02 = 4,177.58 : x
  2. Step 2: Convert to fraction form
    4,724.34/7,081.02 = 4,177.58/x
  3. Step 3: Cross multiply
    4,724.34x = 7,081.02 × 4,177.58
  4. Step 4: Simplify right side
    4,724.34x = 29,581,527.53
  5. Step 5: Solve for x
    x = 29,581,527.53/4,724.34
  6. Step 6: Final answer
    x = 6,261.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.