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Finding the Fourth Proportional to 3,466.77, 5,200.33 and 1,689.47

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Solution

The fourth proportional to 3,466.77, 5,200.33 and 1,689.47 is: 2,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.77 : 5,200.33 = 1,689.47 : x
  2. Step 2: Convert to fraction form
    3,466.77/5,200.33 = 1,689.47/x
  3. Step 3: Cross multiply
    3,466.77x = 5,200.33 × 1,689.47
  4. Step 4: Simplify right side
    3,466.77x = 8,785,774.59
  5. Step 5: Solve for x
    x = 8,785,774.59/3,466.77
  6. Step 6: Final answer
    x = 2,534.28

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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.