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Finding the Fourth Proportional to 5,948.20, 8,915.82 and 4,211.56

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Solution

The fourth proportional to 5,948.20, 8,915.82 and 4,211.56 is: 6,312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.20 : 8,915.82 = 4,211.56 : x
  2. Step 2: Convert to fraction form
    5,948.20/8,915.82 = 4,211.56/x
  3. Step 3: Cross multiply
    5,948.20x = 8,915.82 × 4,211.56
  4. Step 4: Simplify right side
    5,948.20x = 37,549,510.88
  5. Step 5: Solve for x
    x = 37,549,510.88/5,948.20
  6. Step 6: Final answer
    x = 6,312.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.