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Finding the Fourth Proportional to 4,977.64, 6,867.40 and 3,087.25

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Solution

The fourth proportional to 4,977.64, 6,867.40 and 3,087.25 is: 4,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.64 : 6,867.40 = 3,087.25 : x
  2. Step 2: Convert to fraction form
    4,977.64/6,867.40 = 3,087.25/x
  3. Step 3: Cross multiply
    4,977.64x = 6,867.40 × 3,087.25
  4. Step 4: Simplify right side
    4,977.64x = 21,201,380.65
  5. Step 5: Solve for x
    x = 21,201,380.65/4,977.64
  6. Step 6: Final answer
    x = 4,259.32

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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.