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Finding the Fourth Proportional to 3,616.20, 5,423.58 and 1,018.50

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Solution

The fourth proportional to 3,616.20, 5,423.58 and 1,018.50 is: 1,527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.20 : 5,423.58 = 1,018.50 : x
  2. Step 2: Convert to fraction form
    3,616.20/5,423.58 = 1,018.50/x
  3. Step 3: Cross multiply
    3,616.20x = 5,423.58 × 1,018.50
  4. Step 4: Simplify right side
    3,616.20x = 5,523,916.23
  5. Step 5: Solve for x
    x = 5,523,916.23/3,616.20
  6. Step 6: Final answer
    x = 1,527.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.