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Finding the Fourth Proportional to 5,342.70, 8,012.76 and 2,054.10

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Solution

The fourth proportional to 5,342.70, 8,012.76 and 2,054.10 is: 3,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.70 : 8,012.76 = 2,054.10 : x
  2. Step 2: Convert to fraction form
    5,342.70/8,012.76 = 2,054.10/x
  3. Step 3: Cross multiply
    5,342.70x = 8,012.76 × 2,054.10
  4. Step 4: Simplify right side
    5,342.70x = 16,459,010.32
  5. Step 5: Solve for x
    x = 16,459,010.32/5,342.70
  6. Step 6: Final answer
    x = 3,080.65

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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.