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Finding the Fourth Proportional to 5,436.18, 7,502.07 and 3,078.48

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Solution

The fourth proportional to 5,436.18, 7,502.07 and 3,078.48 is: 4,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.18 : 7,502.07 = 3,078.48 : x
  2. Step 2: Convert to fraction form
    5,436.18/7,502.07 = 3,078.48/x
  3. Step 3: Cross multiply
    5,436.18x = 7,502.07 × 3,078.48
  4. Step 4: Simplify right side
    5,436.18x = 23,094,972.45
  5. Step 5: Solve for x
    x = 23,094,972.45/5,436.18
  6. Step 6: Final answer
    x = 4,248.38

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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.