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Finding the Fourth Proportional to 3,532.95, 5,296.32 and 2,284.07

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Solution

The fourth proportional to 3,532.95, 5,296.32 and 2,284.07 is: 3,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.95 : 5,296.32 = 2,284.07 : x
  2. Step 2: Convert to fraction form
    3,532.95/5,296.32 = 2,284.07/x
  3. Step 3: Cross multiply
    3,532.95x = 5,296.32 × 2,284.07
  4. Step 4: Simplify right side
    3,532.95x = 12,097,139.14
  5. Step 5: Solve for x
    x = 12,097,139.14/3,532.95
  6. Step 6: Final answer
    x = 3,424.09

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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.