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Finding the Fourth Proportional to 4,568.32, 6,853.05 and 1,447.51

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Solution

The fourth proportional to 4,568.32, 6,853.05 and 1,447.51 is: 2,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.32 : 6,853.05 = 1,447.51 : x
  2. Step 2: Convert to fraction form
    4,568.32/6,853.05 = 1,447.51/x
  3. Step 3: Cross multiply
    4,568.32x = 6,853.05 × 1,447.51
  4. Step 4: Simplify right side
    4,568.32x = 9,919,858.41
  5. Step 5: Solve for x
    x = 9,919,858.41/4,568.32
  6. Step 6: Final answer
    x = 2,171.45

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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.