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Finding the Fourth Proportional to 5,475.78, 7,507.44 and 5,377.50

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Solution

The fourth proportional to 5,475.78, 7,507.44 and 5,377.50 is: 7,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.78 : 7,507.44 = 5,377.50 : x
  2. Step 2: Convert to fraction form
    5,475.78/7,507.44 = 5,377.50/x
  3. Step 3: Cross multiply
    5,475.78x = 7,507.44 × 5,377.50
  4. Step 4: Simplify right side
    5,475.78x = 40,371,258.60
  5. Step 5: Solve for x
    x = 40,371,258.60/5,475.78
  6. Step 6: Final answer
    x = 7,372.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.