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Finding the Fourth Proportional to 4,674.14, 6,449.65 and 2,905.10

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Solution

The fourth proportional to 4,674.14, 6,449.65 and 2,905.10 is: 4,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.14 : 6,449.65 = 2,905.10 : x
  2. Step 2: Convert to fraction form
    4,674.14/6,449.65 = 2,905.10/x
  3. Step 3: Cross multiply
    4,674.14x = 6,449.65 × 2,905.10
  4. Step 4: Simplify right side
    4,674.14x = 18,736,878.22
  5. Step 5: Solve for x
    x = 18,736,878.22/4,674.14
  6. Step 6: Final answer
    x = 4,008.63

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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.