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Finding the Fourth Proportional to 5,688, 8,531.52 and 1,939.50

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Solution

The fourth proportional to 5,688, 8,531.52 and 1,939.50 is: 2,909.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688 : 8,531.52 = 1,939.50 : x
  2. Step 2: Convert to fraction form
    5,688/8,531.52 = 1,939.50/x
  3. Step 3: Cross multiply
    5,688x = 8,531.52 × 1,939.50
  4. Step 4: Simplify right side
    5,688x = 16,546,883.04
  5. Step 5: Solve for x
    x = 16,546,883.04/5,688
  6. Step 6: Final answer
    x = 2,909.09

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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.