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Finding the Fourth Proportional to 4,665.69, 6,438.62 and 2,569.81

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Solution

The fourth proportional to 4,665.69, 6,438.62 and 2,569.81 is: 3,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.69 : 6,438.62 = 2,569.81 : x
  2. Step 2: Convert to fraction form
    4,665.69/6,438.62 = 2,569.81/x
  3. Step 3: Cross multiply
    4,665.69x = 6,438.62 × 2,569.81
  4. Step 4: Simplify right side
    4,665.69x = 16,546,030.06
  5. Step 5: Solve for x
    x = 16,546,030.06/4,665.69
  6. Step 6: Final answer
    x = 3,546.32

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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.