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Finding the Fourth Proportional to 3,527.49, 5,291.23 and 1,335.70

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Solution

The fourth proportional to 3,527.49, 5,291.23 and 1,335.70 is: 2,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.49 : 5,291.23 = 1,335.70 : x
  2. Step 2: Convert to fraction form
    3,527.49/5,291.23 = 1,335.70/x
  3. Step 3: Cross multiply
    3,527.49x = 5,291.23 × 1,335.70
  4. Step 4: Simplify right side
    3,527.49x = 7,067,495.91
  5. Step 5: Solve for x
    x = 7,067,495.91/3,527.49
  6. Step 6: Final answer
    x = 2,003.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.