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Finding the Fourth Proportional to 5,034.59, 7,514.90 and 4,443.42

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Solution

The fourth proportional to 5,034.59, 7,514.90 and 4,443.42 is: 6,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.59 : 7,514.90 = 4,443.42 : x
  2. Step 2: Convert to fraction form
    5,034.59/7,514.90 = 4,443.42/x
  3. Step 3: Cross multiply
    5,034.59x = 7,514.90 × 4,443.42
  4. Step 4: Simplify right side
    5,034.59x = 33,391,868.07
  5. Step 5: Solve for x
    x = 33,391,868.07/5,034.59
  6. Step 6: Final answer
    x = 6,632.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.