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Finding the Fourth Proportional to 4,123.76, 5,689.98 and 3,336.44

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Solution

The fourth proportional to 4,123.76, 5,689.98 and 3,336.44 is: 4,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.76 : 5,689.98 = 3,336.44 : x
  2. Step 2: Convert to fraction form
    4,123.76/5,689.98 = 3,336.44/x
  3. Step 3: Cross multiply
    4,123.76x = 5,689.98 × 3,336.44
  4. Step 4: Simplify right side
    4,123.76x = 18,984,248.42
  5. Step 5: Solve for x
    x = 18,984,248.42/4,123.76
  6. Step 6: Final answer
    x = 4,603.63

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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.