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Finding the Fourth Proportional to 4,785.38, 7,171.84 and 2,008.40

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Solution

The fourth proportional to 4,785.38, 7,171.84 and 2,008.40 is: 3,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.38 : 7,171.84 = 2,008.40 : x
  2. Step 2: Convert to fraction form
    4,785.38/7,171.84 = 2,008.40/x
  3. Step 3: Cross multiply
    4,785.38x = 7,171.84 × 2,008.40
  4. Step 4: Simplify right side
    4,785.38x = 14,403,890.11
  5. Step 5: Solve for x
    x = 14,403,890.11/4,785.38
  6. Step 6: Final answer
    x = 3,009.98

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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.