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Finding the Fourth Proportional to 5,293.71, 7,303.82 and 4,171.16

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Solution

The fourth proportional to 5,293.71, 7,303.82 and 4,171.16 is: 5,755.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.71 : 7,303.82 = 4,171.16 : x
  2. Step 2: Convert to fraction form
    5,293.71/7,303.82 = 4,171.16/x
  3. Step 3: Cross multiply
    5,293.71x = 7,303.82 × 4,171.16
  4. Step 4: Simplify right side
    5,293.71x = 30,465,399.23
  5. Step 5: Solve for x
    x = 30,465,399.23/5,293.71
  6. Step 6: Final answer
    x = 5,755.02

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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.