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Finding the Fourth Proportional to 5,738.76, 8,597.03 and 3,361.10

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Solution

The fourth proportional to 5,738.76, 8,597.03 and 3,361.10 is: 5,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.76 : 8,597.03 = 3,361.10 : x
  2. Step 2: Convert to fraction form
    5,738.76/8,597.03 = 3,361.10/x
  3. Step 3: Cross multiply
    5,738.76x = 8,597.03 × 3,361.10
  4. Step 4: Simplify right side
    5,738.76x = 28,895,417.74
  5. Step 5: Solve for x
    x = 28,895,417.74/5,738.76
  6. Step 6: Final answer
    x = 5,035.13

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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.