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Finding the Fourth Proportional to 3,666.26, 5,497.77 and 1,069.40

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Solution

The fourth proportional to 3,666.26, 5,497.77 and 1,069.40 is: 1,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.26 : 5,497.77 = 1,069.40 : x
  2. Step 2: Convert to fraction form
    3,666.26/5,497.77 = 1,069.40/x
  3. Step 3: Cross multiply
    3,666.26x = 5,497.77 × 1,069.40
  4. Step 4: Simplify right side
    3,666.26x = 5,879,332.99
  5. Step 5: Solve for x
    x = 5,879,332.99/3,666.26
  6. Step 6: Final answer
    x = 1,603.63

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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.