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Finding the Fourth Proportional to 5,696.40, 8,545.02 and 1,536.40

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Solution

The fourth proportional to 5,696.40, 8,545.02 and 1,536.40 is: 2,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.40 : 8,545.02 = 1,536.40 : x
  2. Step 2: Convert to fraction form
    5,696.40/8,545.02 = 1,536.40/x
  3. Step 3: Cross multiply
    5,696.40x = 8,545.02 × 1,536.40
  4. Step 4: Simplify right side
    5,696.40x = 13,128,568.73
  5. Step 5: Solve for x
    x = 13,128,568.73/5,696.40
  6. Step 6: Final answer
    x = 2,304.71

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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.