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Finding the Fourth Proportional to 4,682.66, 6,448.14 and 3,354.08

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Solution

The fourth proportional to 4,682.66, 6,448.14 and 3,354.08 is: 4,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.66 : 6,448.14 = 3,354.08 : x
  2. Step 2: Convert to fraction form
    4,682.66/6,448.14 = 3,354.08/x
  3. Step 3: Cross multiply
    4,682.66x = 6,448.14 × 3,354.08
  4. Step 4: Simplify right side
    4,682.66x = 21,627,577.41
  5. Step 5: Solve for x
    x = 21,627,577.41/4,682.66
  6. Step 6: Final answer
    x = 4,618.65

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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.