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Finding the Fourth Proportional to 3,849.48, 5,774.76 and 1,216.10

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Solution

The fourth proportional to 3,849.48, 5,774.76 and 1,216.10 is: 1,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.48 : 5,774.76 = 1,216.10 : x
  2. Step 2: Convert to fraction form
    3,849.48/5,774.76 = 1,216.10/x
  3. Step 3: Cross multiply
    3,849.48x = 5,774.76 × 1,216.10
  4. Step 4: Simplify right side
    3,849.48x = 7,022,656.76
  5. Step 5: Solve for x
    x = 7,022,656.76/3,849.48
  6. Step 6: Final answer
    x = 1,824.31

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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.