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Finding the Fourth Proportional to 3,531.65, 5,291.02 and 1,654.09

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Solution

The fourth proportional to 3,531.65, 5,291.02 and 1,654.09 is: 2,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.65 : 5,291.02 = 1,654.09 : x
  2. Step 2: Convert to fraction form
    3,531.65/5,291.02 = 1,654.09/x
  3. Step 3: Cross multiply
    3,531.65x = 5,291.02 × 1,654.09
  4. Step 4: Simplify right side
    3,531.65x = 8,751,832.57
  5. Step 5: Solve for x
    x = 8,751,832.57/3,531.65
  6. Step 6: Final answer
    x = 2,478.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.