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Finding the Fourth Proportional to 4,728.61, 7,103.24 and 4,064.31

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Solution

The fourth proportional to 4,728.61, 7,103.24 and 4,064.31 is: 6,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.61 : 7,103.24 = 4,064.31 : x
  2. Step 2: Convert to fraction form
    4,728.61/7,103.24 = 4,064.31/x
  3. Step 3: Cross multiply
    4,728.61x = 7,103.24 × 4,064.31
  4. Step 4: Simplify right side
    4,728.61x = 28,869,787.15
  5. Step 5: Solve for x
    x = 28,869,787.15/4,728.61
  6. Step 6: Final answer
    x = 6,105.34

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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.