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Finding the Fourth Proportional to 5,340.32, 8,009.56 and 1,443.81

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Solution

The fourth proportional to 5,340.32, 8,009.56 and 1,443.81 is: 2,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.32 : 8,009.56 = 1,443.81 : x
  2. Step 2: Convert to fraction form
    5,340.32/8,009.56 = 1,443.81/x
  3. Step 3: Cross multiply
    5,340.32x = 8,009.56 × 1,443.81
  4. Step 4: Simplify right side
    5,340.32x = 11,564,282.82
  5. Step 5: Solve for x
    x = 11,564,282.82/5,340.32
  6. Step 6: Final answer
    x = 2,165.47

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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.