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Finding the Fourth Proportional to 5,398, 8,097.44 and 1,502.41

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Solution

The fourth proportional to 5,398, 8,097.44 and 1,502.41 is: 2,253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398 : 8,097.44 = 1,502.41 : x
  2. Step 2: Convert to fraction form
    5,398/8,097.44 = 1,502.41/x
  3. Step 3: Cross multiply
    5,398x = 8,097.44 × 1,502.41
  4. Step 4: Simplify right side
    5,398x = 12,165,674.83
  5. Step 5: Solve for x
    x = 12,165,674.83/5,398
  6. Step 6: Final answer
    x = 2,253.74

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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.