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Finding the Fourth Proportional to 4,878.18, 6,724.87 and 3,478.50

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Solution

The fourth proportional to 4,878.18, 6,724.87 and 3,478.50 is: 4,795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.18 : 6,724.87 = 3,478.50 : x
  2. Step 2: Convert to fraction form
    4,878.18/6,724.87 = 3,478.50/x
  3. Step 3: Cross multiply
    4,878.18x = 6,724.87 × 3,478.50
  4. Step 4: Simplify right side
    4,878.18x = 23,392,451.60
  5. Step 5: Solve for x
    x = 23,392,451.60/4,878.18
  6. Step 6: Final answer
    x = 4,795.32

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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.