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Finding the Fourth Proportional to 3,598.50, 5,397.93 and 3,409.14

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Solution

The fourth proportional to 3,598.50, 5,397.93 and 3,409.14 is: 5,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.50 : 5,397.93 = 3,409.14 : x
  2. Step 2: Convert to fraction form
    3,598.50/5,397.93 = 3,409.14/x
  3. Step 3: Cross multiply
    3,598.50x = 5,397.93 × 3,409.14
  4. Step 4: Simplify right side
    3,598.50x = 18,402,299.08
  5. Step 5: Solve for x
    x = 18,402,299.08/3,598.50
  6. Step 6: Final answer
    x = 5,113.88

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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.