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Finding the Fourth Proportional to 5,271.84, 7,914.24 and 5,063.04

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Solution

The fourth proportional to 5,271.84, 7,914.24 and 5,063.04 is: 7,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.84 : 7,914.24 = 5,063.04 : x
  2. Step 2: Convert to fraction form
    5,271.84/7,914.24 = 5,063.04/x
  3. Step 3: Cross multiply
    5,271.84x = 7,914.24 × 5,063.04
  4. Step 4: Simplify right side
    5,271.84x = 40,070,113.69
  5. Step 5: Solve for x
    x = 40,070,113.69/5,271.84
  6. Step 6: Final answer
    x = 7,600.78

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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.