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Finding the Fourth Proportional to 3,598.04, 5,394.94 and 1,404.21

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Solution

The fourth proportional to 3,598.04, 5,394.94 and 1,404.21 is: 2,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.04 : 5,394.94 = 1,404.21 : x
  2. Step 2: Convert to fraction form
    3,598.04/5,394.94 = 1,404.21/x
  3. Step 3: Cross multiply
    3,598.04x = 5,394.94 × 1,404.21
  4. Step 4: Simplify right side
    3,598.04x = 7,575,645.42
  5. Step 5: Solve for x
    x = 7,575,645.42/3,598.04
  6. Step 6: Final answer
    x = 2,105.49

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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.