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Finding the Fourth Proportional to 5,381.84, 7,429.52 and 3,143.00

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Solution

The fourth proportional to 5,381.84, 7,429.52 and 3,143.00 is: 4,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.84 : 7,429.52 = 3,143.00 : x
  2. Step 2: Convert to fraction form
    5,381.84/7,429.52 = 3,143.00/x
  3. Step 3: Cross multiply
    5,381.84x = 7,429.52 × 3,143.00
  4. Step 4: Simplify right side
    5,381.84x = 23,351,007.79
  5. Step 5: Solve for x
    x = 23,351,007.79/5,381.84
  6. Step 6: Final answer
    x = 4,338.85

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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.