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Finding the Fourth Proportional to 5,661.79, 8,489.95 and 2,374.00

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Solution

The fourth proportional to 5,661.79, 8,489.95 and 2,374.00 is: 3,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.79 : 8,489.95 = 2,374.00 : x
  2. Step 2: Convert to fraction form
    5,661.79/8,489.95 = 2,374.00/x
  3. Step 3: Cross multiply
    5,661.79x = 8,489.95 × 2,374.00
  4. Step 4: Simplify right side
    5,661.79x = 20,155,114.14
  5. Step 5: Solve for x
    x = 20,155,114.14/5,661.79
  6. Step 6: Final answer
    x = 3,559.85

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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.