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Finding the Fourth Proportional to 3,525.89, 5,288.90 and 1,335.65

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Solution

The fourth proportional to 3,525.89, 5,288.90 and 1,335.65 is: 2,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.89 : 5,288.90 = 1,335.65 : x
  2. Step 2: Convert to fraction form
    3,525.89/5,288.90 = 1,335.65/x
  3. Step 3: Cross multiply
    3,525.89x = 5,288.90 × 1,335.65
  4. Step 4: Simplify right side
    3,525.89x = 7,064,119.29
  5. Step 5: Solve for x
    x = 7,064,119.29/3,525.89
  6. Step 6: Final answer
    x = 2,003.50

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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.