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Finding the Fourth Proportional to 4,193.40, 5,787.18 and 2,330.40

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Solution

The fourth proportional to 4,193.40, 5,787.18 and 2,330.40 is: 3,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.40 : 5,787.18 = 2,330.40 : x
  2. Step 2: Convert to fraction form
    4,193.40/5,787.18 = 2,330.40/x
  3. Step 3: Cross multiply
    4,193.40x = 5,787.18 × 2,330.40
  4. Step 4: Simplify right side
    4,193.40x = 13,486,444.27
  5. Step 5: Solve for x
    x = 13,486,444.27/4,193.40
  6. Step 6: Final answer
    x = 3,216.11

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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.