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Finding the Fourth Proportional to 5,311.53, 7,972.16 and 4,074.93

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Solution

The fourth proportional to 5,311.53, 7,972.16 and 4,074.93 is: 6,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.53 : 7,972.16 = 4,074.93 : x
  2. Step 2: Convert to fraction form
    5,311.53/7,972.16 = 4,074.93/x
  3. Step 3: Cross multiply
    5,311.53x = 7,972.16 × 4,074.93
  4. Step 4: Simplify right side
    5,311.53x = 32,485,973.57
  5. Step 5: Solve for x
    x = 32,485,973.57/5,311.53
  6. Step 6: Final answer
    x = 6,116.12

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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.