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Finding the Fourth Proportional to 3,919.84, 5,409.30 and 2,151.48

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Solution

The fourth proportional to 3,919.84, 5,409.30 and 2,151.48 is: 2,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.84 : 5,409.30 = 2,151.48 : x
  2. Step 2: Convert to fraction form
    3,919.84/5,409.30 = 2,151.48/x
  3. Step 3: Cross multiply
    3,919.84x = 5,409.30 × 2,151.48
  4. Step 4: Simplify right side
    3,919.84x = 11,638,000.76
  5. Step 5: Solve for x
    x = 11,638,000.76/3,919.84
  6. Step 6: Final answer
    x = 2,969.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.