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Finding the Fourth Proportional to 4,787.46, 7,187.22 and 4,565.88

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Solution

The fourth proportional to 4,787.46, 7,187.22 and 4,565.88 is: 6,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.46 : 7,187.22 = 4,565.88 : x
  2. Step 2: Convert to fraction form
    4,787.46/7,187.22 = 4,565.88/x
  3. Step 3: Cross multiply
    4,787.46x = 7,187.22 × 4,565.88
  4. Step 4: Simplify right side
    4,787.46x = 32,815,984.05
  5. Step 5: Solve for x
    x = 32,815,984.05/4,787.46
  6. Step 6: Final answer
    x = 6,854.57

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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.