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Finding the Fourth Proportional to 5,642.42, 7,785.81 and 3,284.18

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Solution

The fourth proportional to 5,642.42, 7,785.81 and 3,284.18 is: 4,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.42 : 7,785.81 = 3,284.18 : x
  2. Step 2: Convert to fraction form
    5,642.42/7,785.81 = 3,284.18/x
  3. Step 3: Cross multiply
    5,642.42x = 7,785.81 × 3,284.18
  4. Step 4: Simplify right side
    5,642.42x = 25,570,001.49
  5. Step 5: Solve for x
    x = 25,570,001.49/5,642.42
  6. Step 6: Final answer
    x = 4,531.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.