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Finding the Fourth Proportional to 3,885.57, 5,832.46 and 2,130.50

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Solution

The fourth proportional to 3,885.57, 5,832.46 and 2,130.50 is: 3,198.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.57 : 5,832.46 = 2,130.50 : x
  2. Step 2: Convert to fraction form
    3,885.57/5,832.46 = 2,130.50/x
  3. Step 3: Cross multiply
    3,885.57x = 5,832.46 × 2,130.50
  4. Step 4: Simplify right side
    3,885.57x = 12,426,061.29
  5. Step 5: Solve for x
    x = 12,426,061.29/3,885.57
  6. Step 6: Final answer
    x = 3,198.00

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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.