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Finding the Fourth Proportional to 3,776.81, 5,209.94 and 2,411.52

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Solution

The fourth proportional to 3,776.81, 5,209.94 and 2,411.52 is: 3,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.81 : 5,209.94 = 2,411.52 : x
  2. Step 2: Convert to fraction form
    3,776.81/5,209.94 = 2,411.52/x
  3. Step 3: Cross multiply
    3,776.81x = 5,209.94 × 2,411.52
  4. Step 4: Simplify right side
    3,776.81x = 12,563,862.45
  5. Step 5: Solve for x
    x = 12,563,862.45/3,776.81
  6. Step 6: Final answer
    x = 3,326.58

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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.