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Finding the Fourth Proportional to 3,001.88, 4,142.90 and 2,559.64

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Solution

The fourth proportional to 3,001.88, 4,142.90 and 2,559.64 is: 3,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.88 : 4,142.90 = 2,559.64 : x
  2. Step 2: Convert to fraction form
    3,001.88/4,142.90 = 2,559.64/x
  3. Step 3: Cross multiply
    3,001.88x = 4,142.90 × 2,559.64
  4. Step 4: Simplify right side
    3,001.88x = 10,604,332.56
  5. Step 5: Solve for x
    x = 10,604,332.56/3,001.88
  6. Step 6: Final answer
    x = 3,532.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.