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Finding the Fourth Proportional to 5,832.90, 8,728.80 and 3,642.66

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Solution

The fourth proportional to 5,832.90, 8,728.80 and 3,642.66 is: 5,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.90 : 8,728.80 = 3,642.66 : x
  2. Step 2: Convert to fraction form
    5,832.90/8,728.80 = 3,642.66/x
  3. Step 3: Cross multiply
    5,832.90x = 8,728.80 × 3,642.66
  4. Step 4: Simplify right side
    5,832.90x = 31,796,050.61
  5. Step 5: Solve for x
    x = 31,796,050.61/5,832.90
  6. Step 6: Final answer
    x = 5,451.16

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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.