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Finding the Fourth Proportional to 5,721.50, 7,895.48 and 3,203.84

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Solution

The fourth proportional to 5,721.50, 7,895.48 and 3,203.84 is: 4,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.50 : 7,895.48 = 3,203.84 : x
  2. Step 2: Convert to fraction form
    5,721.50/7,895.48 = 3,203.84/x
  3. Step 3: Cross multiply
    5,721.50x = 7,895.48 × 3,203.84
  4. Step 4: Simplify right side
    5,721.50x = 25,295,854.64
  5. Step 5: Solve for x
    x = 25,295,854.64/5,721.50
  6. Step 6: Final answer
    x = 4,421.19

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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.