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Finding the Fourth Proportional to 4,298.34, 6,447.42 and 2,077.41

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Solution

The fourth proportional to 4,298.34, 6,447.42 and 2,077.41 is: 3,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.34 : 6,447.42 = 2,077.41 : x
  2. Step 2: Convert to fraction form
    4,298.34/6,447.42 = 2,077.41/x
  3. Step 3: Cross multiply
    4,298.34x = 6,447.42 × 2,077.41
  4. Step 4: Simplify right side
    4,298.34x = 13,393,934.78
  5. Step 5: Solve for x
    x = 13,393,934.78/4,298.34
  6. Step 6: Final answer
    x = 3,116.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.