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Finding the Fourth Proportional to 3,006.77, 4,152.72 and 2,965.79

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Solution

The fourth proportional to 3,006.77, 4,152.72 and 2,965.79 is: 4,096.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.77 : 4,152.72 = 2,965.79 : x
  2. Step 2: Convert to fraction form
    3,006.77/4,152.72 = 2,965.79/x
  3. Step 3: Cross multiply
    3,006.77x = 4,152.72 × 2,965.79
  4. Step 4: Simplify right side
    3,006.77x = 12,316,074.69
  5. Step 5: Solve for x
    x = 12,316,074.69/3,006.77
  6. Step 6: Final answer
    x = 4,096.12

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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.