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Finding the Fourth Proportional to 3,386.94, 4,671.27 and 2,142.78

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Solution

The fourth proportional to 3,386.94, 4,671.27 and 2,142.78 is: 2,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.94 : 4,671.27 = 2,142.78 : x
  2. Step 2: Convert to fraction form
    3,386.94/4,671.27 = 2,142.78/x
  3. Step 3: Cross multiply
    3,386.94x = 4,671.27 × 2,142.78
  4. Step 4: Simplify right side
    3,386.94x = 10,009,503.93
  5. Step 5: Solve for x
    x = 10,009,503.93/3,386.94
  6. Step 6: Final answer
    x = 2,955.32

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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.