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Finding the Fourth Proportional to 3,530.07, 5,295.22 and 1,338.95

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Solution

The fourth proportional to 3,530.07, 5,295.22 and 1,338.95 is: 2,008.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.07 : 5,295.22 = 1,338.95 : x
  2. Step 2: Convert to fraction form
    3,530.07/5,295.22 = 1,338.95/x
  3. Step 3: Cross multiply
    3,530.07x = 5,295.22 × 1,338.95
  4. Step 4: Simplify right side
    3,530.07x = 7,090,044.71
  5. Step 5: Solve for x
    x = 7,090,044.71/3,530.07
  6. Step 6: Final answer
    x = 2,008.47

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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.