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Finding the Fourth Proportional to 4,773.72, 6,587.76 and 2,785.65

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Solution

The fourth proportional to 4,773.72, 6,587.76 and 2,785.65 is: 3,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.72 : 6,587.76 = 2,785.65 : x
  2. Step 2: Convert to fraction form
    4,773.72/6,587.76 = 2,785.65/x
  3. Step 3: Cross multiply
    4,773.72x = 6,587.76 × 2,785.65
  4. Step 4: Simplify right side
    4,773.72x = 18,351,193.64
  5. Step 5: Solve for x
    x = 18,351,193.64/4,773.72
  6. Step 6: Final answer
    x = 3,844.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.