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Finding the Fourth Proportional to 4,967.46, 6,854.55 and 2,842.80

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Solution

The fourth proportional to 4,967.46, 6,854.55 and 2,842.80 is: 3,922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.46 : 6,854.55 = 2,842.80 : x
  2. Step 2: Convert to fraction form
    4,967.46/6,854.55 = 2,842.80/x
  3. Step 3: Cross multiply
    4,967.46x = 6,854.55 × 2,842.80
  4. Step 4: Simplify right side
    4,967.46x = 19,486,114.74
  5. Step 5: Solve for x
    x = 19,486,114.74/4,967.46
  6. Step 6: Final answer
    x = 3,922.75

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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.