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Finding the Fourth Proportional to 2,964.33, 4,420.14 and 2,835.84

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Solution

The fourth proportional to 2,964.33, 4,420.14 and 2,835.84 is: 4,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.33 : 4,420.14 = 2,835.84 : x
  2. Step 2: Convert to fraction form
    2,964.33/4,420.14 = 2,835.84/x
  3. Step 3: Cross multiply
    2,964.33x = 4,420.14 × 2,835.84
  4. Step 4: Simplify right side
    2,964.33x = 12,534,795.64
  5. Step 5: Solve for x
    x = 12,534,795.64/2,964.33
  6. Step 6: Final answer
    x = 4,228.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.