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Finding the Fourth Proportional to 5,340.64, 8,010.66 and 1,444.76

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Solution

The fourth proportional to 5,340.64, 8,010.66 and 1,444.76 is: 2,167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.64 : 8,010.66 = 1,444.76 : x
  2. Step 2: Convert to fraction form
    5,340.64/8,010.66 = 1,444.76/x
  3. Step 3: Cross multiply
    5,340.64x = 8,010.66 × 1,444.76
  4. Step 4: Simplify right side
    5,340.64x = 11,573,481.14
  5. Step 5: Solve for x
    x = 11,573,481.14/5,340.64
  6. Step 6: Final answer
    x = 2,167.06

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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.