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Finding the Fourth Proportional to 5,134.19, 7,701.28 and 1,847.28

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Solution

The fourth proportional to 5,134.19, 7,701.28 and 1,847.28 is: 2,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.19 : 7,701.28 = 1,847.28 : x
  2. Step 2: Convert to fraction form
    5,134.19/7,701.28 = 1,847.28/x
  3. Step 3: Cross multiply
    5,134.19x = 7,701.28 × 1,847.28
  4. Step 4: Simplify right side
    5,134.19x = 14,226,420.52
  5. Step 5: Solve for x
    x = 14,226,420.52/5,134.19
  6. Step 6: Final answer
    x = 2,770.92

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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.