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Finding the Fourth Proportional to 4,436.74, 6,123.05 and 2,447.47

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Solution

The fourth proportional to 4,436.74, 6,123.05 and 2,447.47 is: 3,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,436.74 : 6,123.05 = 2,447.47 : x
  2. Step 2: Convert to fraction form
    4,436.74/6,123.05 = 2,447.47/x
  3. Step 3: Cross multiply
    4,436.74x = 6,123.05 × 2,447.47
  4. Step 4: Simplify right side
    4,436.74x = 14,985,968.95
  5. Step 5: Solve for x
    x = 14,985,968.95/4,436.74
  6. Step 6: Final answer
    x = 3,377.70

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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.