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Finding the Fourth Proportional to 4,639.49, 6,398.15 and 3,698.40

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Solution

The fourth proportional to 4,639.49, 6,398.15 and 3,698.40 is: 5,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.49 : 6,398.15 = 3,698.40 : x
  2. Step 2: Convert to fraction form
    4,639.49/6,398.15 = 3,698.40/x
  3. Step 3: Cross multiply
    4,639.49x = 6,398.15 × 3,698.40
  4. Step 4: Simplify right side
    4,639.49x = 23,662,899.47
  5. Step 5: Solve for x
    x = 23,662,899.47/4,639.49
  6. Step 6: Final answer
    x = 5,100.33

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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.