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Finding the Fourth Proportional to 4,122.84, 5,689.35 and 2,354.37

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Solution

The fourth proportional to 4,122.84, 5,689.35 and 2,354.37 is: 3,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.84 : 5,689.35 = 2,354.37 : x
  2. Step 2: Convert to fraction form
    4,122.84/5,689.35 = 2,354.37/x
  3. Step 3: Cross multiply
    4,122.84x = 5,689.35 × 2,354.37
  4. Step 4: Simplify right side
    4,122.84x = 13,394,834.96
  5. Step 5: Solve for x
    x = 13,394,834.96/4,122.84
  6. Step 6: Final answer
    x = 3,248.93

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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.