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Finding the Fourth Proportional to 3,713.88, 5,564.76 and 2,890.12

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Solution

The fourth proportional to 3,713.88, 5,564.76 and 2,890.12 is: 4,330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.88 : 5,564.76 = 2,890.12 : x
  2. Step 2: Convert to fraction form
    3,713.88/5,564.76 = 2,890.12/x
  3. Step 3: Cross multiply
    3,713.88x = 5,564.76 × 2,890.12
  4. Step 4: Simplify right side
    3,713.88x = 16,082,824.17
  5. Step 5: Solve for x
    x = 16,082,824.17/3,713.88
  6. Step 6: Final answer
    x = 4,330.46

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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.