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Finding the Fourth Proportional to 4,785.67, 7,182.02 and 3,141.64

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Solution

The fourth proportional to 4,785.67, 7,182.02 and 3,141.64 is: 4,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.67 : 7,182.02 = 3,141.64 : x
  2. Step 2: Convert to fraction form
    4,785.67/7,182.02 = 3,141.64/x
  3. Step 3: Cross multiply
    4,785.67x = 7,182.02 × 3,141.64
  4. Step 4: Simplify right side
    4,785.67x = 22,563,321.31
  5. Step 5: Solve for x
    x = 22,563,321.31/4,785.67
  6. Step 6: Final answer
    x = 4,714.77

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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.