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Finding the Fourth Proportional to 5,310.75, 7,966.13 and 1,848

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Solution

The fourth proportional to 5,310.75, 7,966.13 and 1,848 is: 2,772.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.75 : 7,966.13 = 1,848 : x
  2. Step 2: Convert to fraction form
    5,310.75/7,966.13 = 1,848/x
  3. Step 3: Cross multiply
    5,310.75x = 7,966.13 × 1,848
  4. Step 4: Simplify right side
    5,310.75x = 14,721,408.24
  5. Step 5: Solve for x
    x = 14,721,408.24/5,310.75
  6. Step 6: Final answer
    x = 2,772.00

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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.