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Finding the Fourth Proportional to 3,954.84, 5,459.40 and 2,780.28

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Solution

The fourth proportional to 3,954.84, 5,459.40 and 2,780.28 is: 3,838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.84 : 5,459.40 = 2,780.28 : x
  2. Step 2: Convert to fraction form
    3,954.84/5,459.40 = 2,780.28/x
  3. Step 3: Cross multiply
    3,954.84x = 5,459.40 × 2,780.28
  4. Step 4: Simplify right side
    3,954.84x = 15,178,660.63
  5. Step 5: Solve for x
    x = 15,178,660.63/3,954.84
  6. Step 6: Final answer
    x = 3,838.00

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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.