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Finding the Fourth Proportional to 3,459.77, 4,772.96 and 2,340.30

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Solution

The fourth proportional to 3,459.77, 4,772.96 and 2,340.30 is: 3,228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.77 : 4,772.96 = 2,340.30 : x
  2. Step 2: Convert to fraction form
    3,459.77/4,772.96 = 2,340.30/x
  3. Step 3: Cross multiply
    3,459.77x = 4,772.96 × 2,340.30
  4. Step 4: Simplify right side
    3,459.77x = 11,170,158.29
  5. Step 5: Solve for x
    x = 11,170,158.29/3,459.77
  6. Step 6: Final answer
    x = 3,228.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.