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Finding the Fourth Proportional to 4,230.32, 5,839.47 and 3,787.45

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Solution

The fourth proportional to 4,230.32, 5,839.47 and 3,787.45 is: 5,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.32 : 5,839.47 = 3,787.45 : x
  2. Step 2: Convert to fraction form
    4,230.32/5,839.47 = 3,787.45/x
  3. Step 3: Cross multiply
    4,230.32x = 5,839.47 × 3,787.45
  4. Step 4: Simplify right side
    4,230.32x = 22,116,686.05
  5. Step 5: Solve for x
    x = 22,116,686.05/4,230.32
  6. Step 6: Final answer
    x = 5,228.14

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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.