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Finding the Fourth Proportional to 5,832.98, 8,750.67 and 1,884.53

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Solution

The fourth proportional to 5,832.98, 8,750.67 and 1,884.53 is: 2,827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.98 : 8,750.67 = 1,884.53 : x
  2. Step 2: Convert to fraction form
    5,832.98/8,750.67 = 1,884.53/x
  3. Step 3: Cross multiply
    5,832.98x = 8,750.67 × 1,884.53
  4. Step 4: Simplify right side
    5,832.98x = 16,490,856.38
  5. Step 5: Solve for x
    x = 16,490,856.38/5,832.98
  6. Step 6: Final answer
    x = 2,827.18

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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.