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Finding the Fourth Proportional to 6,551.57, 9,037.04 and 3,897

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Solution

The fourth proportional to 6,551.57, 9,037.04 and 3,897 is: 5,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.57 : 9,037.04 = 3,897 : x
  2. Step 2: Convert to fraction form
    6,551.57/9,037.04 = 3,897/x
  3. Step 3: Cross multiply
    6,551.57x = 9,037.04 × 3,897
  4. Step 4: Simplify right side
    6,551.57x = 35,217,325.40
  5. Step 5: Solve for x
    x = 35,217,325.40/6,551.57
  6. Step 6: Final answer
    x = 5,375.40

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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.