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Finding the Fourth Proportional to 5,344.53, 7,375.50 and 3,106.50

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Solution

The fourth proportional to 5,344.53, 7,375.50 and 3,106.50 is: 4,287.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.53 : 7,375.50 = 3,106.50 : x
  2. Step 2: Convert to fraction form
    5,344.53/7,375.50 = 3,106.50/x
  3. Step 3: Cross multiply
    5,344.53x = 7,375.50 × 3,106.50
  4. Step 4: Simplify right side
    5,344.53x = 22,911,990.75
  5. Step 5: Solve for x
    x = 22,911,990.75/5,344.53
  6. Step 6: Final answer
    x = 4,287.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.