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Finding the Fourth Proportional to 5,287.14, 7,297.02 and 3,048.57

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Solution

The fourth proportional to 5,287.14, 7,297.02 and 3,048.57 is: 4,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.14 : 7,297.02 = 3,048.57 : x
  2. Step 2: Convert to fraction form
    5,287.14/7,297.02 = 3,048.57/x
  3. Step 3: Cross multiply
    5,287.14x = 7,297.02 × 3,048.57
  4. Step 4: Simplify right side
    5,287.14x = 22,245,476.26
  5. Step 5: Solve for x
    x = 22,245,476.26/5,287.14
  6. Step 6: Final answer
    x = 4,207.47

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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.