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Finding the Fourth Proportional to 5,502.32, 7,592.40 and 3,144

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Solution

The fourth proportional to 5,502.32, 7,592.40 and 3,144 is: 4,338.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.32 : 7,592.40 = 3,144 : x
  2. Step 2: Convert to fraction form
    5,502.32/7,592.40 = 3,144/x
  3. Step 3: Cross multiply
    5,502.32x = 7,592.40 × 3,144
  4. Step 4: Simplify right side
    5,502.32x = 23,870,505.60
  5. Step 5: Solve for x
    x = 23,870,505.60/5,502.32
  6. Step 6: Final answer
    x = 4,338.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.