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Finding the Fourth Proportional to 3,602.48, 5,373.34 and 3,284.15

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Solution

The fourth proportional to 3,602.48, 5,373.34 and 3,284.15 is: 4,898.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.48 : 5,373.34 = 3,284.15 : x
  2. Step 2: Convert to fraction form
    3,602.48/5,373.34 = 3,284.15/x
  3. Step 3: Cross multiply
    3,602.48x = 5,373.34 × 3,284.15
  4. Step 4: Simplify right side
    3,602.48x = 17,646,819.48
  5. Step 5: Solve for x
    x = 17,646,819.48/3,602.48
  6. Step 6: Final answer
    x = 4,898.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.