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Finding the Fourth Proportional to 5,302.18, 7,948.41 and 1,837

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Solution

The fourth proportional to 5,302.18, 7,948.41 and 1,837 is: 2,753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.18 : 7,948.41 = 1,837 : x
  2. Step 2: Convert to fraction form
    5,302.18/7,948.41 = 1,837/x
  3. Step 3: Cross multiply
    5,302.18x = 7,948.41 × 1,837
  4. Step 4: Simplify right side
    5,302.18x = 14,601,229.17
  5. Step 5: Solve for x
    x = 14,601,229.17/5,302.18
  6. Step 6: Final answer
    x = 2,753.82

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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.