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Finding the Fourth Proportional to 3,598.50, 5,398.08 and 1,001.46

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Solution

The fourth proportional to 3,598.50, 5,398.08 and 1,001.46 is: 1,502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.50 : 5,398.08 = 1,001.46 : x
  2. Step 2: Convert to fraction form
    3,598.50/5,398.08 = 1,001.46/x
  3. Step 3: Cross multiply
    3,598.50x = 5,398.08 × 1,001.46
  4. Step 4: Simplify right side
    3,598.50x = 5,405,961.20
  5. Step 5: Solve for x
    x = 5,405,961.20/3,598.50
  6. Step 6: Final answer
    x = 1,502.28

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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.