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Finding the Fourth Proportional to 5,439.36, 7,503.84 and 3,824.40

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Solution

The fourth proportional to 5,439.36, 7,503.84 and 3,824.40 is: 5,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439.36 : 7,503.84 = 3,824.40 : x
  2. Step 2: Convert to fraction form
    5,439.36/7,503.84 = 3,824.40/x
  3. Step 3: Cross multiply
    5,439.36x = 7,503.84 × 3,824.40
  4. Step 4: Simplify right side
    5,439.36x = 28,697,685.70
  5. Step 5: Solve for x
    x = 28,697,685.70/5,439.36
  6. Step 6: Final answer
    x = 5,275.93

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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.