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Finding the Fourth Proportional to 4,878.76, 7,354.59 and 4,463.60

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Solution

The fourth proportional to 4,878.76, 7,354.59 and 4,463.60 is: 6,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.76 : 7,354.59 = 4,463.60 : x
  2. Step 2: Convert to fraction form
    4,878.76/7,354.59 = 4,463.60/x
  3. Step 3: Cross multiply
    4,878.76x = 7,354.59 × 4,463.60
  4. Step 4: Simplify right side
    4,878.76x = 32,827,947.92
  5. Step 5: Solve for x
    x = 32,827,947.92/4,878.76
  6. Step 6: Final answer
    x = 6,728.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.