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Finding the Fourth Proportional to 5,560.10, 7,709.20 and 5,297.06

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Solution

The fourth proportional to 5,560.10, 7,709.20 and 5,297.06 is: 7,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,560.10 : 7,709.20 = 5,297.06 : x
  2. Step 2: Convert to fraction form
    5,560.10/7,709.20 = 5,297.06/x
  3. Step 3: Cross multiply
    5,560.10x = 7,709.20 × 5,297.06
  4. Step 4: Simplify right side
    5,560.10x = 40,836,068.47
  5. Step 5: Solve for x
    x = 40,836,068.47/5,560.10
  6. Step 6: Final answer
    x = 7,344.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.