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Finding the Fourth Proportional to 5,038.56, 7,560.32 and 2,267.20

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Solution

The fourth proportional to 5,038.56, 7,560.32 and 2,267.20 is: 3,401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.56 : 7,560.32 = 2,267.20 : x
  2. Step 2: Convert to fraction form
    5,038.56/7,560.32 = 2,267.20/x
  3. Step 3: Cross multiply
    5,038.56x = 7,560.32 × 2,267.20
  4. Step 4: Simplify right side
    5,038.56x = 17,140,757.50
  5. Step 5: Solve for x
    x = 17,140,757.50/5,038.56
  6. Step 6: Final answer
    x = 3,401.92

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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.