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Finding the Fourth Proportional to 3,612.80, 4,966.51 and 3,106.79

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Solution

The fourth proportional to 3,612.80, 4,966.51 and 3,106.79 is: 4,270.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.80 : 4,966.51 = 3,106.79 : x
  2. Step 2: Convert to fraction form
    3,612.80/4,966.51 = 3,106.79/x
  3. Step 3: Cross multiply
    3,612.80x = 4,966.51 × 3,106.79
  4. Step 4: Simplify right side
    3,612.80x = 15,429,903.60
  5. Step 5: Solve for x
    x = 15,429,903.60/3,612.80
  6. Step 6: Final answer
    x = 4,270.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.