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Finding the Fourth Proportional to 5,948.78, 8,924.52 and 4,100.63

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Solution

The fourth proportional to 5,948.78, 8,924.52 and 4,100.63 is: 6,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.78 : 8,924.52 = 4,100.63 : x
  2. Step 2: Convert to fraction form
    5,948.78/8,924.52 = 4,100.63/x
  3. Step 3: Cross multiply
    5,948.78x = 8,924.52 × 4,100.63
  4. Step 4: Simplify right side
    5,948.78x = 36,596,154.45
  5. Step 5: Solve for x
    x = 36,596,154.45/5,948.78
  6. Step 6: Final answer
    x = 6,151.88

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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.