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Finding the Fourth Proportional to 4,006.65, 6,006.64 and 2,776.47

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Solution

The fourth proportional to 4,006.65, 6,006.64 and 2,776.47 is: 4,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.65 : 6,006.64 = 2,776.47 : x
  2. Step 2: Convert to fraction form
    4,006.65/6,006.64 = 2,776.47/x
  3. Step 3: Cross multiply
    4,006.65x = 6,006.64 × 2,776.47
  4. Step 4: Simplify right side
    4,006.65x = 16,677,255.76
  5. Step 5: Solve for x
    x = 16,677,255.76/4,006.65
  6. Step 6: Final answer
    x = 4,162.39

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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.