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Finding the Fourth Proportional to 5,144.55, 7,706.04 and 4,264.95

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Solution

The fourth proportional to 5,144.55, 7,706.04 and 4,264.95 is: 6,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.55 : 7,706.04 = 4,264.95 : x
  2. Step 2: Convert to fraction form
    5,144.55/7,706.04 = 4,264.95/x
  3. Step 3: Cross multiply
    5,144.55x = 7,706.04 × 4,264.95
  4. Step 4: Simplify right side
    5,144.55x = 32,865,888.20
  5. Step 5: Solve for x
    x = 32,865,888.20/5,144.55
  6. Step 6: Final answer
    x = 6,388.49

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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.