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Finding the Fourth Proportional to 4,967.64, 6,853.59 and 3,077.24

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Solution

The fourth proportional to 4,967.64, 6,853.59 and 3,077.24 is: 4,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.64 : 6,853.59 = 3,077.24 : x
  2. Step 2: Convert to fraction form
    4,967.64/6,853.59 = 3,077.24/x
  3. Step 3: Cross multiply
    4,967.64x = 6,853.59 × 3,077.24
  4. Step 4: Simplify right side
    4,967.64x = 21,090,107.02
  5. Step 5: Solve for x
    x = 21,090,107.02/4,967.64
  6. Step 6: Final answer
    x = 4,245.50

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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.