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Finding the Fourth Proportional to 4,967.64, 6,856.62 and 2,872.98

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Solution

The fourth proportional to 4,967.64, 6,856.62 and 2,872.98 is: 3,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.64 : 6,856.62 = 2,872.98 : x
  2. Step 2: Convert to fraction form
    4,967.64/6,856.62 = 2,872.98/x
  3. Step 3: Cross multiply
    4,967.64x = 6,856.62 × 2,872.98
  4. Step 4: Simplify right side
    4,967.64x = 19,698,932.13
  5. Step 5: Solve for x
    x = 19,698,932.13/4,967.64
  6. Step 6: Final answer
    x = 3,965.45

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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.