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Finding the Fourth Proportional to 3,620.66, 5,429.14 and 1,769

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Solution

The fourth proportional to 3,620.66, 5,429.14 and 1,769 is: 2,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.66 : 5,429.14 = 1,769 : x
  2. Step 2: Convert to fraction form
    3,620.66/5,429.14 = 1,769/x
  3. Step 3: Cross multiply
    3,620.66x = 5,429.14 × 1,769
  4. Step 4: Simplify right side
    3,620.66x = 9,604,148.66
  5. Step 5: Solve for x
    x = 9,604,148.66/3,620.66
  6. Step 6: Final answer
    x = 2,652.60

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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.