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Finding the Fourth Proportional to 5,154.36, 7,729.14 and 1,867.32

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Solution

The fourth proportional to 5,154.36, 7,729.14 and 1,867.32 is: 2,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.36 : 7,729.14 = 1,867.32 : x
  2. Step 2: Convert to fraction form
    5,154.36/7,729.14 = 1,867.32/x
  3. Step 3: Cross multiply
    5,154.36x = 7,729.14 × 1,867.32
  4. Step 4: Simplify right side
    5,154.36x = 14,432,777.70
  5. Step 5: Solve for x
    x = 14,432,777.70/5,154.36
  6. Step 6: Final answer
    x = 2,800.11

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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.