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Finding the Fourth Proportional to 3,527.97, 5,291.24 and 1,335.93

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Solution

The fourth proportional to 3,527.97, 5,291.24 and 1,335.93 is: 2,003.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.97 : 5,291.24 = 1,335.93 : x
  2. Step 2: Convert to fraction form
    3,527.97/5,291.24 = 1,335.93/x
  3. Step 3: Cross multiply
    3,527.97x = 5,291.24 × 1,335.93
  4. Step 4: Simplify right side
    3,527.97x = 7,068,719.57
  5. Step 5: Solve for x
    x = 7,068,719.57/3,527.97
  6. Step 6: Final answer
    x = 2,003.62

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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.