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Finding the Fourth Proportional to 3,602.02, 5,402.48 and 1,293.52

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Solution

The fourth proportional to 3,602.02, 5,402.48 and 1,293.52 is: 1,940.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.02 : 5,402.48 = 1,293.52 : x
  2. Step 2: Convert to fraction form
    3,602.02/5,402.48 = 1,293.52/x
  3. Step 3: Cross multiply
    3,602.02x = 5,402.48 × 1,293.52
  4. Step 4: Simplify right side
    3,602.02x = 6,988,215.93
  5. Step 5: Solve for x
    x = 6,988,215.93/3,602.02
  6. Step 6: Final answer
    x = 1,940.08

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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.