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Finding the Fourth Proportional to 4,013.88, 6,019.96 and 1,547.88

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Solution

The fourth proportional to 4,013.88, 6,019.96 and 1,547.88 is: 2,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.88 : 6,019.96 = 1,547.88 : x
  2. Step 2: Convert to fraction form
    4,013.88/6,019.96 = 1,547.88/x
  3. Step 3: Cross multiply
    4,013.88x = 6,019.96 × 1,547.88
  4. Step 4: Simplify right side
    4,013.88x = 9,318,175.68
  5. Step 5: Solve for x
    x = 9,318,175.68/4,013.88
  6. Step 6: Final answer
    x = 2,321.49

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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.