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Finding the Fourth Proportional to 4,665.09, 6,437.83 and 2,569.22

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Solution

The fourth proportional to 4,665.09, 6,437.83 and 2,569.22 is: 3,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.09 : 6,437.83 = 2,569.22 : x
  2. Step 2: Convert to fraction form
    4,665.09/6,437.83 = 2,569.22/x
  3. Step 3: Cross multiply
    4,665.09x = 6,437.83 × 2,569.22
  4. Step 4: Simplify right side
    4,665.09x = 16,540,191.94
  5. Step 5: Solve for x
    x = 16,540,191.94/4,665.09
  6. Step 6: Final answer
    x = 3,545.52

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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.