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Finding the Fourth Proportional to 4,663.44, 6,435.68 and 2,674.20

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Solution

The fourth proportional to 4,663.44, 6,435.68 and 2,674.20 is: 3,690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.44 : 6,435.68 = 2,674.20 : x
  2. Step 2: Convert to fraction form
    4,663.44/6,435.68 = 2,674.20/x
  3. Step 3: Cross multiply
    4,663.44x = 6,435.68 × 2,674.20
  4. Step 4: Simplify right side
    4,663.44x = 17,210,295.46
  5. Step 5: Solve for x
    x = 17,210,295.46/4,663.44
  6. Step 6: Final answer
    x = 3,690.47

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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.