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Finding the Fourth Proportional to 5,866.56, 8,801.88 and 2,582.01

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Solution

The fourth proportional to 5,866.56, 8,801.88 and 2,582.01 is: 3,873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.56 : 8,801.88 = 2,582.01 : x
  2. Step 2: Convert to fraction form
    5,866.56/8,801.88 = 2,582.01/x
  3. Step 3: Cross multiply
    5,866.56x = 8,801.88 × 2,582.01
  4. Step 4: Simplify right side
    5,866.56x = 22,726,542.18
  5. Step 5: Solve for x
    x = 22,726,542.18/5,866.56
  6. Step 6: Final answer
    x = 3,873.91

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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.