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Finding the Fourth Proportional to 5,719.50, 8,582.49 and 2,641.50

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Solution

The fourth proportional to 5,719.50, 8,582.49 and 2,641.50 is: 3,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.50 : 8,582.49 = 2,641.50 : x
  2. Step 2: Convert to fraction form
    5,719.50/8,582.49 = 2,641.50/x
  3. Step 3: Cross multiply
    5,719.50x = 8,582.49 × 2,641.50
  4. Step 4: Simplify right side
    5,719.50x = 22,670,647.34
  5. Step 5: Solve for x
    x = 22,670,647.34/5,719.50
  6. Step 6: Final answer
    x = 3,963.75

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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.