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Finding the Fourth Proportional to 3,603.14, 5,404.76 and 1,412.90

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Solution

The fourth proportional to 3,603.14, 5,404.76 and 1,412.90 is: 2,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.14 : 5,404.76 = 1,412.90 : x
  2. Step 2: Convert to fraction form
    3,603.14/5,404.76 = 1,412.90/x
  3. Step 3: Cross multiply
    3,603.14x = 5,404.76 × 1,412.90
  4. Step 4: Simplify right side
    3,603.14x = 7,636,378.34
  5. Step 5: Solve for x
    x = 7,636,378.34/3,603.14
  6. Step 6: Final answer
    x = 2,119.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.