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Finding the Fourth Proportional to 4,120.76, 5,686.90 and 2,352.94

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Solution

The fourth proportional to 4,120.76, 5,686.90 and 2,352.94 is: 3,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.76 : 5,686.90 = 2,352.94 : x
  2. Step 2: Convert to fraction form
    4,120.76/5,686.90 = 2,352.94/x
  3. Step 3: Cross multiply
    4,120.76x = 5,686.90 × 2,352.94
  4. Step 4: Simplify right side
    4,120.76x = 13,380,934.49
  5. Step 5: Solve for x
    x = 13,380,934.49/4,120.76
  6. Step 6: Final answer
    x = 3,247.20

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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.