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Finding the Fourth Proportional to 5,175.56, 7,756.35 and 3,711.50

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Solution

The fourth proportional to 5,175.56, 7,756.35 and 3,711.50 is: 5,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.56 : 7,756.35 = 3,711.50 : x
  2. Step 2: Convert to fraction form
    5,175.56/7,756.35 = 3,711.50/x
  3. Step 3: Cross multiply
    5,175.56x = 7,756.35 × 3,711.50
  4. Step 4: Simplify right side
    5,175.56x = 28,787,693.03
  5. Step 5: Solve for x
    x = 28,787,693.03/5,175.56
  6. Step 6: Final answer
    x = 5,562.24

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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.