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Finding the Fourth Proportional to 5,948.64, 8,913.24 and 5,721.12

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Solution

The fourth proportional to 5,948.64, 8,913.24 and 5,721.12 is: 8,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.64 : 8,913.24 = 5,721.12 : x
  2. Step 2: Convert to fraction form
    5,948.64/8,913.24 = 5,721.12/x
  3. Step 3: Cross multiply
    5,948.64x = 8,913.24 × 5,721.12
  4. Step 4: Simplify right side
    5,948.64x = 50,993,715.63
  5. Step 5: Solve for x
    x = 50,993,715.63/5,948.64
  6. Step 6: Final answer
    x = 8,572.33

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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.