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Finding the Fourth Proportional to 3,642.75, 5,459.88 and 1,559.61

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Solution

The fourth proportional to 3,642.75, 5,459.88 and 1,559.61 is: 2,337.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.75 : 5,459.88 = 1,559.61 : x
  2. Step 2: Convert to fraction form
    3,642.75/5,459.88 = 1,559.61/x
  3. Step 3: Cross multiply
    3,642.75x = 5,459.88 × 1,559.61
  4. Step 4: Simplify right side
    3,642.75x = 8,515,283.45
  5. Step 5: Solve for x
    x = 8,515,283.45/3,642.75
  6. Step 6: Final answer
    x = 2,337.60

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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.