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Finding the Fourth Proportional to 3,709.98, 5,560.10 and 1,516.20

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Solution

The fourth proportional to 3,709.98, 5,560.10 and 1,516.20 is: 2,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.98 : 5,560.10 = 1,516.20 : x
  2. Step 2: Convert to fraction form
    3,709.98/5,560.10 = 1,516.20/x
  3. Step 3: Cross multiply
    3,709.98x = 5,560.10 × 1,516.20
  4. Step 4: Simplify right side
    3,709.98x = 8,430,241.31
  5. Step 5: Solve for x
    x = 8,430,241.31/3,709.98
  6. Step 6: Final answer
    x = 2,272.32

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1.5x scale

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.