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Finding the Fourth Proportional to 5,774.17, 8,675.12 and 3,698.20

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Solution

The fourth proportional to 5,774.17, 8,675.12 and 3,698.20 is: 5,556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.17 : 8,675.12 = 3,698.20 : x
  2. Step 2: Convert to fraction form
    5,774.17/8,675.12 = 3,698.20/x
  3. Step 3: Cross multiply
    5,774.17x = 8,675.12 × 3,698.20
  4. Step 4: Simplify right side
    5,774.17x = 32,082,266.92
  5. Step 5: Solve for x
    x = 32,082,266.92/5,774.17
  6. Step 6: Final answer
    x = 5,556.17

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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.