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Finding the Fourth Proportional to 3,838.50, 5,759.19 and 1,530.18

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Solution

The fourth proportional to 3,838.50, 5,759.19 and 1,530.18 is: 2,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.50 : 5,759.19 = 1,530.18 : x
  2. Step 2: Convert to fraction form
    3,838.50/5,759.19 = 1,530.18/x
  3. Step 3: Cross multiply
    3,838.50x = 5,759.19 × 1,530.18
  4. Step 4: Simplify right side
    3,838.50x = 8,812,597.35
  5. Step 5: Solve for x
    x = 8,812,597.35/3,838.50
  6. Step 6: Final answer
    x = 2,295.84

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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.