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Finding the Fourth Proportional to 3,205.66, 4,424.07 and 2,547.94

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Solution

The fourth proportional to 3,205.66, 4,424.07 and 2,547.94 is: 3,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.66 : 4,424.07 = 2,547.94 : x
  2. Step 2: Convert to fraction form
    3,205.66/4,424.07 = 2,547.94/x
  3. Step 3: Cross multiply
    3,205.66x = 4,424.07 × 2,547.94
  4. Step 4: Simplify right side
    3,205.66x = 11,272,264.92
  5. Step 5: Solve for x
    x = 11,272,264.92/3,205.66
  6. Step 6: Final answer
    x = 3,516.36

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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.