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Finding the Fourth Proportional to 5,184.06, 7,775.97 and 2,106.06

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Solution

The fourth proportional to 5,184.06, 7,775.97 and 2,106.06 is: 3,159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.06 : 7,775.97 = 2,106.06 : x
  2. Step 2: Convert to fraction form
    5,184.06/7,775.97 = 2,106.06/x
  3. Step 3: Cross multiply
    5,184.06x = 7,775.97 × 2,106.06
  4. Step 4: Simplify right side
    5,184.06x = 16,376,659.38
  5. Step 5: Solve for x
    x = 16,376,659.38/5,184.06
  6. Step 6: Final answer
    x = 3,159.04

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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.