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Finding the Fourth Proportional to 5,703.97, 8,551.85 and 2,582.37

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Solution

The fourth proportional to 5,703.97, 8,551.85 and 2,582.37 is: 3,871.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.97 : 8,551.85 = 2,582.37 : x
  2. Step 2: Convert to fraction form
    5,703.97/8,551.85 = 2,582.37/x
  3. Step 3: Cross multiply
    5,703.97x = 8,551.85 × 2,582.37
  4. Step 4: Simplify right side
    5,703.97x = 22,084,037.74
  5. Step 5: Solve for x
    x = 22,084,037.74/5,703.97
  6. Step 6: Final answer
    x = 3,871.70

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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.