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Finding the Fourth Proportional to 4,855.86, 6,700.68 and 2,967.75

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Solution

The fourth proportional to 4,855.86, 6,700.68 and 2,967.75 is: 4,095.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.86 : 6,700.68 = 2,967.75 : x
  2. Step 2: Convert to fraction form
    4,855.86/6,700.68 = 2,967.75/x
  3. Step 3: Cross multiply
    4,855.86x = 6,700.68 × 2,967.75
  4. Step 4: Simplify right side
    4,855.86x = 19,885,943.07
  5. Step 5: Solve for x
    x = 19,885,943.07/4,855.86
  6. Step 6: Final answer
    x = 4,095.25

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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.