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Finding the Fourth Proportional to 5,959.50, 8,224.14 and 3,307.32

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Solution

The fourth proportional to 5,959.50, 8,224.14 and 3,307.32 is: 4,564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.50 : 8,224.14 = 3,307.32 : x
  2. Step 2: Convert to fraction form
    5,959.50/8,224.14 = 3,307.32/x
  3. Step 3: Cross multiply
    5,959.50x = 8,224.14 × 3,307.32
  4. Step 4: Simplify right side
    5,959.50x = 27,199,862.70
  5. Step 5: Solve for x
    x = 27,199,862.70/5,959.50
  6. Step 6: Final answer
    x = 4,564.12

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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.