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Finding the Fourth Proportional to 5,263.46, 7,264.41 and 4,002.49

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Solution

The fourth proportional to 5,263.46, 7,264.41 and 4,002.49 is: 5,524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.46 : 7,264.41 = 4,002.49 : x
  2. Step 2: Convert to fraction form
    5,263.46/7,264.41 = 4,002.49/x
  3. Step 3: Cross multiply
    5,263.46x = 7,264.41 × 4,002.49
  4. Step 4: Simplify right side
    5,263.46x = 29,075,728.38
  5. Step 5: Solve for x
    x = 29,075,728.38/5,263.46
  6. Step 6: Final answer
    x = 5,524.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.