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Finding the Fourth Proportional to 3,440.69, 4,746 and 2,864.31

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Solution

The fourth proportional to 3,440.69, 4,746 and 2,864.31 is: 3,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.69 : 4,746 = 2,864.31 : x
  2. Step 2: Convert to fraction form
    3,440.69/4,746 = 2,864.31/x
  3. Step 3: Cross multiply
    3,440.69x = 4,746 × 2,864.31
  4. Step 4: Simplify right side
    3,440.69x = 13,594,015.26
  5. Step 5: Solve for x
    x = 13,594,015.26/3,440.69
  6. Step 6: Final answer
    x = 3,950.96

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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.