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Finding the Fourth Proportional to 4,193.84, 5,787.52 and 2,425.44

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Solution

The fourth proportional to 4,193.84, 5,787.52 and 2,425.44 is: 3,347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.84 : 5,787.52 = 2,425.44 : x
  2. Step 2: Convert to fraction form
    4,193.84/5,787.52 = 2,425.44/x
  3. Step 3: Cross multiply
    4,193.84x = 5,787.52 × 2,425.44
  4. Step 4: Simplify right side
    4,193.84x = 14,037,282.51
  5. Step 5: Solve for x
    x = 14,037,282.51/4,193.84
  6. Step 6: Final answer
    x = 3,347.12

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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.