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Finding the Fourth Proportional to 5,743.80, 8,615.70 and 4,285.80

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Solution

The fourth proportional to 5,743.80, 8,615.70 and 4,285.80 is: 6,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.80 : 8,615.70 = 4,285.80 : x
  2. Step 2: Convert to fraction form
    5,743.80/8,615.70 = 4,285.80/x
  3. Step 3: Cross multiply
    5,743.80x = 8,615.70 × 4,285.80
  4. Step 4: Simplify right side
    5,743.80x = 36,925,167.06
  5. Step 5: Solve for x
    x = 36,925,167.06/5,743.80
  6. Step 6: Final answer
    x = 6,428.70

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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.