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Finding the Fourth Proportional to 3,679.52, 5,516.16 and 1,597.94

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Solution

The fourth proportional to 3,679.52, 5,516.16 and 1,597.94 is: 2,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.52 : 5,516.16 = 1,597.94 : x
  2. Step 2: Convert to fraction form
    3,679.52/5,516.16 = 1,597.94/x
  3. Step 3: Cross multiply
    3,679.52x = 5,516.16 × 1,597.94
  4. Step 4: Simplify right side
    3,679.52x = 8,814,492.71
  5. Step 5: Solve for x
    x = 8,814,492.71/3,679.52
  6. Step 6: Final answer
    x = 2,395.56

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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.