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Finding the Fourth Proportional to 4,477.88, 6,710.67 and 2,282.00

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Solution

The fourth proportional to 4,477.88, 6,710.67 and 2,282.00 is: 3,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.88 : 6,710.67 = 2,282.00 : x
  2. Step 2: Convert to fraction form
    4,477.88/6,710.67 = 2,282.00/x
  3. Step 3: Cross multiply
    4,477.88x = 6,710.67 × 2,282.00
  4. Step 4: Simplify right side
    4,477.88x = 15,313,740.68
  5. Step 5: Solve for x
    x = 15,313,740.68/4,477.88
  6. Step 6: Final answer
    x = 3,419.86

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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.