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Finding the Fourth Proportional to 5,154.75, 7,732.17 and 1,692

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Solution

The fourth proportional to 5,154.75, 7,732.17 and 1,692 is: 2,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.75 : 7,732.17 = 1,692 : x
  2. Step 2: Convert to fraction form
    5,154.75/7,732.17 = 1,692/x
  3. Step 3: Cross multiply
    5,154.75x = 7,732.17 × 1,692
  4. Step 4: Simplify right side
    5,154.75x = 13,082,831.64
  5. Step 5: Solve for x
    x = 13,082,831.64/5,154.75
  6. Step 6: Final answer
    x = 2,538.01

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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.