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Finding the Fourth Proportional to 5,304.25, 7,319.87 and 2,946.61

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Solution

The fourth proportional to 5,304.25, 7,319.87 and 2,946.61 is: 4,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.25 : 7,319.87 = 2,946.61 : x
  2. Step 2: Convert to fraction form
    5,304.25/7,319.87 = 2,946.61/x
  3. Step 3: Cross multiply
    5,304.25x = 7,319.87 × 2,946.61
  4. Step 4: Simplify right side
    5,304.25x = 21,568,802.14
  5. Step 5: Solve for x
    x = 21,568,802.14/5,304.25
  6. Step 6: Final answer
    x = 4,066.32

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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.