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Finding the Fourth Proportional to 5,897.17, 8,845.89 and 1,947.16

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Solution

The fourth proportional to 5,897.17, 8,845.89 and 1,947.16 is: 2,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.17 : 8,845.89 = 1,947.16 : x
  2. Step 2: Convert to fraction form
    5,897.17/8,845.89 = 1,947.16/x
  3. Step 3: Cross multiply
    5,897.17x = 8,845.89 × 1,947.16
  4. Step 4: Simplify right side
    5,897.17x = 17,224,363.17
  5. Step 5: Solve for x
    x = 17,224,363.17/5,897.17
  6. Step 6: Final answer
    x = 2,920.78

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1.5x scale

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.