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Finding the Fourth Proportional to 4,269.51, 5,889.71 and 2,776.88

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Solution

The fourth proportional to 4,269.51, 5,889.71 and 2,776.88 is: 3,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.51 : 5,889.71 = 2,776.88 : x
  2. Step 2: Convert to fraction form
    4,269.51/5,889.71 = 2,776.88/x
  3. Step 3: Cross multiply
    4,269.51x = 5,889.71 × 2,776.88
  4. Step 4: Simplify right side
    4,269.51x = 16,355,039.57
  5. Step 5: Solve for x
    x = 16,355,039.57/4,269.51
  6. Step 6: Final answer
    x = 3,830.66

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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.