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Finding the Fourth Proportional to 3,868.95, 5,339.70 and 2,546.49

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Solution

The fourth proportional to 3,868.95, 5,339.70 and 2,546.49 is: 3,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.95 : 5,339.70 = 2,546.49 : x
  2. Step 2: Convert to fraction form
    3,868.95/5,339.70 = 2,546.49/x
  3. Step 3: Cross multiply
    3,868.95x = 5,339.70 × 2,546.49
  4. Step 4: Simplify right side
    3,868.95x = 13,597,492.65
  5. Step 5: Solve for x
    x = 13,597,492.65/3,868.95
  6. Step 6: Final answer
    x = 3,514.52

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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.