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Finding the Fourth Proportional to 5,053.12, 6,974.14 and 2,956.84

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Solution

The fourth proportional to 5,053.12, 6,974.14 and 2,956.84 is: 4,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.12 : 6,974.14 = 2,956.84 : x
  2. Step 2: Convert to fraction form
    5,053.12/6,974.14 = 2,956.84/x
  3. Step 3: Cross multiply
    5,053.12x = 6,974.14 × 2,956.84
  4. Step 4: Simplify right side
    5,053.12x = 20,621,416.12
  5. Step 5: Solve for x
    x = 20,621,416.12/5,053.12
  6. Step 6: Final answer
    x = 4,080.93

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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.