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Finding the Fourth Proportional to 4,577.28, 6,865.92 and 1,114.50

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Solution

The fourth proportional to 4,577.28, 6,865.92 and 1,114.50 is: 1,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.28 : 6,865.92 = 1,114.50 : x
  2. Step 2: Convert to fraction form
    4,577.28/6,865.92 = 1,114.50/x
  3. Step 3: Cross multiply
    4,577.28x = 6,865.92 × 1,114.50
  4. Step 4: Simplify right side
    4,577.28x = 7,652,067.84
  5. Step 5: Solve for x
    x = 7,652,067.84/4,577.28
  6. Step 6: Final answer
    x = 1,671.75

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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.