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Finding the Fourth Proportional to 4,671.57, 7,009.43 and 2,449.87

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Solution

The fourth proportional to 4,671.57, 7,009.43 and 2,449.87 is: 3,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.57 : 7,009.43 = 2,449.87 : x
  2. Step 2: Convert to fraction form
    4,671.57/7,009.43 = 2,449.87/x
  3. Step 3: Cross multiply
    4,671.57x = 7,009.43 × 2,449.87
  4. Step 4: Simplify right side
    4,671.57x = 17,172,192.27
  5. Step 5: Solve for x
    x = 17,172,192.27/4,671.57
  6. Step 6: Final answer
    x = 3,675.89

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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.