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Finding the Fourth Proportional to 5,758.84, 8,569.13 and 5,739.40

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Solution

The fourth proportional to 5,758.84, 8,569.13 and 5,739.40 is: 8,540.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.84 : 8,569.13 = 5,739.40 : x
  2. Step 2: Convert to fraction form
    5,758.84/8,569.13 = 5,739.40/x
  3. Step 3: Cross multiply
    5,758.84x = 8,569.13 × 5,739.40
  4. Step 4: Simplify right side
    5,758.84x = 49,181,664.72
  5. Step 5: Solve for x
    x = 49,181,664.72/5,758.84
  6. Step 6: Final answer
    x = 8,540.20

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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.