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Finding the Fourth Proportional to 4,878.32, 6,729.36 and 3,200

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Solution

The fourth proportional to 4,878.32, 6,729.36 and 3,200 is: 4,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.32 : 6,729.36 = 3,200 : x
  2. Step 2: Convert to fraction form
    4,878.32/6,729.36 = 3,200/x
  3. Step 3: Cross multiply
    4,878.32x = 6,729.36 × 3,200
  4. Step 4: Simplify right side
    4,878.32x = 21,533,952
  5. Step 5: Solve for x
    x = 21,533,952/4,878.32
  6. Step 6: Final answer
    x = 4,414.21

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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.