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Finding the Fourth Proportional to 5,920.38, 8,880.84 and 1,538.28

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Solution

The fourth proportional to 5,920.38, 8,880.84 and 1,538.28 is: 2,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.38 : 8,880.84 = 1,538.28 : x
  2. Step 2: Convert to fraction form
    5,920.38/8,880.84 = 1,538.28/x
  3. Step 3: Cross multiply
    5,920.38x = 8,880.84 × 1,538.28
  4. Step 4: Simplify right side
    5,920.38x = 13,661,218.56
  5. Step 5: Solve for x
    x = 13,661,218.56/5,920.38
  6. Step 6: Final answer
    x = 2,307.49

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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.