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Finding the Fourth Proportional to 4,914.08, 6,772.84 and 4,280.64

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Solution

The fourth proportional to 4,914.08, 6,772.84 and 4,280.64 is: 5,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.08 : 6,772.84 = 4,280.64 : x
  2. Step 2: Convert to fraction form
    4,914.08/6,772.84 = 4,280.64/x
  3. Step 3: Cross multiply
    4,914.08x = 6,772.84 × 4,280.64
  4. Step 4: Simplify right side
    4,914.08x = 28,992,089.82
  5. Step 5: Solve for x
    x = 28,992,089.82/4,914.08
  6. Step 6: Final answer
    x = 5,899.80

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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.