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Finding the Fourth Proportional to 5,728.51, 8,546.18 and 5,654.80

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Solution

The fourth proportional to 5,728.51, 8,546.18 and 5,654.80 is: 8,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.51 : 8,546.18 = 5,654.80 : x
  2. Step 2: Convert to fraction form
    5,728.51/8,546.18 = 5,654.80/x
  3. Step 3: Cross multiply
    5,728.51x = 8,546.18 × 5,654.80
  4. Step 4: Simplify right side
    5,728.51x = 48,326,938.66
  5. Step 5: Solve for x
    x = 48,326,938.66/5,728.51
  6. Step 6: Final answer
    x = 8,436.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.