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Finding the Fourth Proportional to 3,547.27, 5,321.09 and 950.23

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Solution

The fourth proportional to 3,547.27, 5,321.09 and 950.23 is: 1,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.27 : 5,321.09 = 950.23 : x
  2. Step 2: Convert to fraction form
    3,547.27/5,321.09 = 950.23/x
  3. Step 3: Cross multiply
    3,547.27x = 5,321.09 × 950.23
  4. Step 4: Simplify right side
    3,547.27x = 5,056,259.35
  5. Step 5: Solve for x
    x = 5,056,259.35/3,547.27
  6. Step 6: Final answer
    x = 1,425.39

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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.