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Finding the Fourth Proportional to 5,843.76, 8,765.68 and 1,948.16

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Solution

The fourth proportional to 5,843.76, 8,765.68 and 1,948.16 is: 2,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.76 : 8,765.68 = 1,948.16 : x
  2. Step 2: Convert to fraction form
    5,843.76/8,765.68 = 1,948.16/x
  3. Step 3: Cross multiply
    5,843.76x = 8,765.68 × 1,948.16
  4. Step 4: Simplify right side
    5,843.76x = 17,076,947.15
  5. Step 5: Solve for x
    x = 17,076,947.15/5,843.76
  6. Step 6: Final answer
    x = 2,922.25

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Similar ratio
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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.