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Finding the Fourth Proportional to 3,386.68, 5,076.56 and 1,305.87

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Solution

The fourth proportional to 3,386.68, 5,076.56 and 1,305.87 is: 1,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.68 : 5,076.56 = 1,305.87 : x
  2. Step 2: Convert to fraction form
    3,386.68/5,076.56 = 1,305.87/x
  3. Step 3: Cross multiply
    3,386.68x = 5,076.56 × 1,305.87
  4. Step 4: Simplify right side
    3,386.68x = 6,629,340.19
  5. Step 5: Solve for x
    x = 6,629,340.19/3,386.68
  6. Step 6: Final answer
    x = 1,957.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.