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Finding the Fourth Proportional to 4,531.32, 6,797.61 and 4,282.32

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Solution

The fourth proportional to 4,531.32, 6,797.61 and 4,282.32 is: 6,424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.32 : 6,797.61 = 4,282.32 : x
  2. Step 2: Convert to fraction form
    4,531.32/6,797.61 = 4,282.32/x
  3. Step 3: Cross multiply
    4,531.32x = 6,797.61 × 4,282.32
  4. Step 4: Simplify right side
    4,531.32x = 29,109,541.26
  5. Step 5: Solve for x
    x = 29,109,541.26/4,531.32
  6. Step 6: Final answer
    x = 6,424.08

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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.