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Finding the Fourth Proportional to 4,934.64, 6,808.68 and 2,945.84

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Solution

The fourth proportional to 4,934.64, 6,808.68 and 2,945.84 is: 4,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.64 : 6,808.68 = 2,945.84 : x
  2. Step 2: Convert to fraction form
    4,934.64/6,808.68 = 2,945.84/x
  3. Step 3: Cross multiply
    4,934.64x = 6,808.68 × 2,945.84
  4. Step 4: Simplify right side
    4,934.64x = 20,057,281.89
  5. Step 5: Solve for x
    x = 20,057,281.89/4,934.64
  6. Step 6: Final answer
    x = 4,064.59

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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.