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Finding the Fourth Proportional to 3,477.67, 5,215.42 and 1,137.14

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Solution

The fourth proportional to 3,477.67, 5,215.42 and 1,137.14 is: 1,705.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.67 : 5,215.42 = 1,137.14 : x
  2. Step 2: Convert to fraction form
    3,477.67/5,215.42 = 1,137.14/x
  3. Step 3: Cross multiply
    3,477.67x = 5,215.42 × 1,137.14
  4. Step 4: Simplify right side
    3,477.67x = 5,930,657.60
  5. Step 5: Solve for x
    x = 5,930,657.60/3,477.67
  6. Step 6: Final answer
    x = 1,705.35

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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.