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Finding the Fourth Proportional to 5,682.28, 8,516.06 and 4,587.08

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Solution

The fourth proportional to 5,682.28, 8,516.06 and 4,587.08 is: 6,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.28 : 8,516.06 = 4,587.08 : x
  2. Step 2: Convert to fraction form
    5,682.28/8,516.06 = 4,587.08/x
  3. Step 3: Cross multiply
    5,682.28x = 8,516.06 × 4,587.08
  4. Step 4: Simplify right side
    5,682.28x = 39,063,848.50
  5. Step 5: Solve for x
    x = 39,063,848.50/5,682.28
  6. Step 6: Final answer
    x = 6,874.68

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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.