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Finding the Fourth Proportional to 3,708.92, 5,114.04 and 3,482.90

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Solution

The fourth proportional to 3,708.92, 5,114.04 and 3,482.90 is: 4,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.92 : 5,114.04 = 3,482.90 : x
  2. Step 2: Convert to fraction form
    3,708.92/5,114.04 = 3,482.90/x
  3. Step 3: Cross multiply
    3,708.92x = 5,114.04 × 3,482.90
  4. Step 4: Simplify right side
    3,708.92x = 17,811,689.92
  5. Step 5: Solve for x
    x = 17,811,689.92/3,708.92
  6. Step 6: Final answer
    x = 4,802.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.