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Finding the Fourth Proportional to 5,492.50, 8,237.19 and 1,543.49

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Solution

The fourth proportional to 5,492.50, 8,237.19 and 1,543.49 is: 2,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.50 : 8,237.19 = 1,543.49 : x
  2. Step 2: Convert to fraction form
    5,492.50/8,237.19 = 1,543.49/x
  3. Step 3: Cross multiply
    5,492.50x = 8,237.19 × 1,543.49
  4. Step 4: Simplify right side
    5,492.50x = 12,713,988.74
  5. Step 5: Solve for x
    x = 12,713,988.74/5,492.50
  6. Step 6: Final answer
    x = 2,314.79

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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.