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Finding the Fourth Proportional to 3,527.34, 5,290.41 and 1,335.54

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Solution

The fourth proportional to 3,527.34, 5,290.41 and 1,335.54 is: 2,003.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.34 : 5,290.41 = 1,335.54 : x
  2. Step 2: Convert to fraction form
    3,527.34/5,290.41 = 1,335.54/x
  3. Step 3: Cross multiply
    3,527.34x = 5,290.41 × 1,335.54
  4. Step 4: Simplify right side
    3,527.34x = 7,065,554.17
  5. Step 5: Solve for x
    x = 7,065,554.17/3,527.34
  6. Step 6: Final answer
    x = 2,003.08

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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.