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Finding the Fourth Proportional to 3,566, 5,348.58 and 1,373.18

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Solution

The fourth proportional to 3,566, 5,348.58 and 1,373.18 is: 2,059.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566 : 5,348.58 = 1,373.18 : x
  2. Step 2: Convert to fraction form
    3,566/5,348.58 = 1,373.18/x
  3. Step 3: Cross multiply
    3,566x = 5,348.58 × 1,373.18
  4. Step 4: Simplify right side
    3,566x = 7,344,563.08
  5. Step 5: Solve for x
    x = 7,344,563.08/3,566
  6. Step 6: Final answer
    x = 2,059.61

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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.