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Finding the Fourth Proportional to 3,754.84, 5,178.18 and 2,970.76

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Solution

The fourth proportional to 3,754.84, 5,178.18 and 2,970.76 is: 4,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.84 : 5,178.18 = 2,970.76 : x
  2. Step 2: Convert to fraction form
    3,754.84/5,178.18 = 2,970.76/x
  3. Step 3: Cross multiply
    3,754.84x = 5,178.18 × 2,970.76
  4. Step 4: Simplify right side
    3,754.84x = 15,383,130.02
  5. Step 5: Solve for x
    x = 15,383,130.02/3,754.84
  6. Step 6: Final answer
    x = 4,096.88

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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.