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Finding the Fourth Proportional to 5,263.52, 7,895.48 and 1,753.84

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Solution

The fourth proportional to 5,263.52, 7,895.48 and 1,753.84 is: 2,630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.52 : 7,895.48 = 1,753.84 : x
  2. Step 2: Convert to fraction form
    5,263.52/7,895.48 = 1,753.84/x
  3. Step 3: Cross multiply
    5,263.52x = 7,895.48 × 1,753.84
  4. Step 4: Simplify right side
    5,263.52x = 13,847,408.64
  5. Step 5: Solve for x
    x = 13,847,408.64/5,263.52
  6. Step 6: Final answer
    x = 2,630.83

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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.