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Finding the Fourth Proportional to 5,134.16, 7,701.24 and 2,054

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Solution

The fourth proportional to 5,134.16, 7,701.24 and 2,054 is: 3,081

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.16 : 7,701.24 = 2,054 : x
  2. Step 2: Convert to fraction form
    5,134.16/7,701.24 = 2,054/x
  3. Step 3: Cross multiply
    5,134.16x = 7,701.24 × 2,054
  4. Step 4: Simplify right side
    5,134.16x = 15,818,346.96
  5. Step 5: Solve for x
    x = 15,818,346.96/5,134.16
  6. Step 6: Final answer
    x = 3,081

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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.