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Finding the Fourth Proportional to 5,317.46, 7,975.63 and 1,422.26

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Solution

The fourth proportional to 5,317.46, 7,975.63 and 1,422.26 is: 2,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.46 : 7,975.63 = 1,422.26 : x
  2. Step 2: Convert to fraction form
    5,317.46/7,975.63 = 1,422.26/x
  3. Step 3: Cross multiply
    5,317.46x = 7,975.63 × 1,422.26
  4. Step 4: Simplify right side
    5,317.46x = 11,343,419.52
  5. Step 5: Solve for x
    x = 11,343,419.52/5,317.46
  6. Step 6: Final answer
    x = 2,133.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.