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Finding the Fourth Proportional to 4,135.80, 5,703.30 and 3,663.84

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Solution

The fourth proportional to 4,135.80, 5,703.30 and 3,663.84 is: 5,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.80 : 5,703.30 = 3,663.84 : x
  2. Step 2: Convert to fraction form
    4,135.80/5,703.30 = 3,663.84/x
  3. Step 3: Cross multiply
    4,135.80x = 5,703.30 × 3,663.84
  4. Step 4: Simplify right side
    4,135.80x = 20,895,978.67
  5. Step 5: Solve for x
    x = 20,895,978.67/4,135.80
  6. Step 6: Final answer
    x = 5,052.46

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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.