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Finding the Fourth Proportional to 3,454.65, 5,175.47 and 2,044.87

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Solution

The fourth proportional to 3,454.65, 5,175.47 and 2,044.87 is: 3,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.65 : 5,175.47 = 2,044.87 : x
  2. Step 2: Convert to fraction form
    3,454.65/5,175.47 = 2,044.87/x
  3. Step 3: Cross multiply
    3,454.65x = 5,175.47 × 2,044.87
  4. Step 4: Simplify right side
    3,454.65x = 10,583,155.51
  5. Step 5: Solve for x
    x = 10,583,155.51/3,454.65
  6. Step 6: Final answer
    x = 3,063.45

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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.