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Finding the Fourth Proportional to 4,188.85, 5,780.71 and 2,274.75

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Solution

The fourth proportional to 4,188.85, 5,780.71 and 2,274.75 is: 3,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.85 : 5,780.71 = 2,274.75 : x
  2. Step 2: Convert to fraction form
    4,188.85/5,780.71 = 2,274.75/x
  3. Step 3: Cross multiply
    4,188.85x = 5,780.71 × 2,274.75
  4. Step 4: Simplify right side
    4,188.85x = 13,149,641.17
  5. Step 5: Solve for x
    x = 13,149,641.17/4,188.85
  6. Step 6: Final answer
    x = 3,139.20

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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.