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Finding the Fourth Proportional to 5,896.52, 8,850.60 and 4,332.14

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Solution

The fourth proportional to 5,896.52, 8,850.60 and 4,332.14 is: 6,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.52 : 8,850.60 = 4,332.14 : x
  2. Step 2: Convert to fraction form
    5,896.52/8,850.60 = 4,332.14/x
  3. Step 3: Cross multiply
    5,896.52x = 8,850.60 × 4,332.14
  4. Step 4: Simplify right side
    5,896.52x = 38,342,038.28
  5. Step 5: Solve for x
    x = 38,342,038.28/5,896.52
  6. Step 6: Final answer
    x = 6,502.49

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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.