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Finding the Fourth Proportional to 3,528, 5,293.44 and 1,679.04

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Solution

The fourth proportional to 3,528, 5,293.44 and 1,679.04 is: 2,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528 : 5,293.44 = 1,679.04 : x
  2. Step 2: Convert to fraction form
    3,528/5,293.44 = 1,679.04/x
  3. Step 3: Cross multiply
    3,528x = 5,293.44 × 1,679.04
  4. Step 4: Simplify right side
    3,528x = 8,887,897.50
  5. Step 5: Solve for x
    x = 8,887,897.50/3,528
  6. Step 6: Final answer
    x = 2,519.25

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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.