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Finding the Fourth Proportional to 3,624.50, 5,437.14 and 1,158.74

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Solution

The fourth proportional to 3,624.50, 5,437.14 and 1,158.74 is: 1,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.50 : 5,437.14 = 1,158.74 : x
  2. Step 2: Convert to fraction form
    3,624.50/5,437.14 = 1,158.74/x
  3. Step 3: Cross multiply
    3,624.50x = 5,437.14 × 1,158.74
  4. Step 4: Simplify right side
    3,624.50x = 6,300,204.42
  5. Step 5: Solve for x
    x = 6,300,204.42/3,624.50
  6. Step 6: Final answer
    x = 1,738.23

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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.