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Finding the Fourth Proportional to 6,516.17, 8,992.31 and 3,532

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Solution

The fourth proportional to 6,516.17, 8,992.31 and 3,532 is: 4,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.17 : 8,992.31 = 3,532 : x
  2. Step 2: Convert to fraction form
    6,516.17/8,992.31 = 3,532/x
  3. Step 3: Cross multiply
    6,516.17x = 8,992.31 × 3,532
  4. Step 4: Simplify right side
    6,516.17x = 31,760,821.26
  5. Step 5: Solve for x
    x = 31,760,821.26/6,516.17
  6. Step 6: Final answer
    x = 4,874.16

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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.