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Finding the Fourth Proportional to 3,535.51, 5,301.24 and 1,342.84

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Solution

The fourth proportional to 3,535.51, 5,301.24 and 1,342.84 is: 2,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.51 : 5,301.24 = 1,342.84 : x
  2. Step 2: Convert to fraction form
    3,535.51/5,301.24 = 1,342.84/x
  3. Step 3: Cross multiply
    3,535.51x = 5,301.24 × 1,342.84
  4. Step 4: Simplify right side
    3,535.51x = 7,118,717.12
  5. Step 5: Solve for x
    x = 7,118,717.12/3,535.51
  6. Step 6: Final answer
    x = 2,013.49

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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.