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Finding the Fourth Proportional to 3,743.90, 5,595.14 and 3,527.84

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Solution

The fourth proportional to 3,743.90, 5,595.14 and 3,527.84 is: 5,272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.90 : 5,595.14 = 3,527.84 : x
  2. Step 2: Convert to fraction form
    3,743.90/5,595.14 = 3,527.84/x
  3. Step 3: Cross multiply
    3,743.90x = 5,595.14 × 3,527.84
  4. Step 4: Simplify right side
    3,743.90x = 19,738,713.08
  5. Step 5: Solve for x
    x = 19,738,713.08/3,743.90
  6. Step 6: Final answer
    x = 5,272.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.