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Finding the Fourth Proportional to 4,937.68, 6,813.80 and 2,842.16

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Solution

The fourth proportional to 4,937.68, 6,813.80 and 2,842.16 is: 3,922.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.68 : 6,813.80 = 2,842.16 : x
  2. Step 2: Convert to fraction form
    4,937.68/6,813.80 = 2,842.16/x
  3. Step 3: Cross multiply
    4,937.68x = 6,813.80 × 2,842.16
  4. Step 4: Simplify right side
    4,937.68x = 19,365,909.81
  5. Step 5: Solve for x
    x = 19,365,909.81/4,937.68
  6. Step 6: Final answer
    x = 3,922.07

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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.