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Finding the Fourth Proportional to 5,339.34, 8,008.92 and 1,876.50

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Solution

The fourth proportional to 5,339.34, 8,008.92 and 1,876.50 is: 2,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.34 : 8,008.92 = 1,876.50 : x
  2. Step 2: Convert to fraction form
    5,339.34/8,008.92 = 1,876.50/x
  3. Step 3: Cross multiply
    5,339.34x = 8,008.92 × 1,876.50
  4. Step 4: Simplify right side
    5,339.34x = 15,028,738.38
  5. Step 5: Solve for x
    x = 15,028,738.38/5,339.34
  6. Step 6: Final answer
    x = 2,814.72

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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.