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Finding the Fourth Proportional to 5,340.12, 8,009.46 and 1,444.84

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Solution

The fourth proportional to 5,340.12, 8,009.46 and 1,444.84 is: 2,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.12 : 8,009.46 = 1,444.84 : x
  2. Step 2: Convert to fraction form
    5,340.12/8,009.46 = 1,444.84/x
  3. Step 3: Cross multiply
    5,340.12x = 8,009.46 × 1,444.84
  4. Step 4: Simplify right side
    5,340.12x = 11,572,388.19
  5. Step 5: Solve for x
    x = 11,572,388.19/5,340.12
  6. Step 6: Final answer
    x = 2,167.07

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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.