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Finding the Fourth Proportional to 3,188.30, 4,776.14 and 2,949.06

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Solution

The fourth proportional to 3,188.30, 4,776.14 and 2,949.06 is: 4,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.30 : 4,776.14 = 2,949.06 : x
  2. Step 2: Convert to fraction form
    3,188.30/4,776.14 = 2,949.06/x
  3. Step 3: Cross multiply
    3,188.30x = 4,776.14 × 2,949.06
  4. Step 4: Simplify right side
    3,188.30x = 14,085,123.43
  5. Step 5: Solve for x
    x = 14,085,123.43/3,188.30
  6. Step 6: Final answer
    x = 4,417.75

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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.