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Finding the Fourth Proportional to 5,492.53, 8,238.60 and 1,543.82

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Solution

The fourth proportional to 5,492.53, 8,238.60 and 1,543.82 is: 2,315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.53 : 8,238.60 = 1,543.82 : x
  2. Step 2: Convert to fraction form
    5,492.53/8,238.60 = 1,543.82/x
  3. Step 3: Cross multiply
    5,492.53x = 8,238.60 × 1,543.82
  4. Step 4: Simplify right side
    5,492.53x = 12,718,915.45
  5. Step 5: Solve for x
    x = 12,718,915.45/5,492.53
  6. Step 6: Final answer
    x = 2,315.68

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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.