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Finding the Fourth Proportional to 5,301.64, 7,314.42 and 3,283.48

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Solution

The fourth proportional to 5,301.64, 7,314.42 and 3,283.48 is: 4,530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.64 : 7,314.42 = 3,283.48 : x
  2. Step 2: Convert to fraction form
    5,301.64/7,314.42 = 3,283.48/x
  3. Step 3: Cross multiply
    5,301.64x = 7,314.42 × 3,283.48
  4. Step 4: Simplify right side
    5,301.64x = 24,016,751.78
  5. Step 5: Solve for x
    x = 24,016,751.78/5,301.64
  6. Step 6: Final answer
    x = 4,530.06

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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.