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Finding the Fourth Proportional to 5,106.87, 7,660.27 and 1,820.08

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Solution

The fourth proportional to 5,106.87, 7,660.27 and 1,820.08 is: 2,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.87 : 7,660.27 = 1,820.08 : x
  2. Step 2: Convert to fraction form
    5,106.87/7,660.27 = 1,820.08/x
  3. Step 3: Cross multiply
    5,106.87x = 7,660.27 × 1,820.08
  4. Step 4: Simplify right side
    5,106.87x = 13,942,304.22
  5. Step 5: Solve for x
    x = 13,942,304.22/5,106.87
  6. Step 6: Final answer
    x = 2,730.11

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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.