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Finding the Fourth Proportional to 3,696.52, 5,543.18 and 1,387.40

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Solution

The fourth proportional to 3,696.52, 5,543.18 and 1,387.40 is: 2,080.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.52 : 5,543.18 = 1,387.40 : x
  2. Step 2: Convert to fraction form
    3,696.52/5,543.18 = 1,387.40/x
  3. Step 3: Cross multiply
    3,696.52x = 5,543.18 × 1,387.40
  4. Step 4: Simplify right side
    3,696.52x = 7,690,607.93
  5. Step 5: Solve for x
    x = 7,690,607.93/3,696.52
  6. Step 6: Final answer
    x = 2,080.50

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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.