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Finding the Fourth Proportional to 4,225.44, 5,832.84 and 2,885.48

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Solution

The fourth proportional to 4,225.44, 5,832.84 and 2,885.48 is: 3,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.44 : 5,832.84 = 2,885.48 : x
  2. Step 2: Convert to fraction form
    4,225.44/5,832.84 = 2,885.48/x
  3. Step 3: Cross multiply
    4,225.44x = 5,832.84 × 2,885.48
  4. Step 4: Simplify right side
    4,225.44x = 16,830,543.16
  5. Step 5: Solve for x
    x = 16,830,543.16/4,225.44
  6. Step 6: Final answer
    x = 3,983.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.