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Finding the Fourth Proportional to 5,195.06, 7,782.30 and 2,417.90

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Solution

The fourth proportional to 5,195.06, 7,782.30 and 2,417.90 is: 3,622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.06 : 7,782.30 = 2,417.90 : x
  2. Step 2: Convert to fraction form
    5,195.06/7,782.30 = 2,417.90/x
  3. Step 3: Cross multiply
    5,195.06x = 7,782.30 × 2,417.90
  4. Step 4: Simplify right side
    5,195.06x = 18,816,823.17
  5. Step 5: Solve for x
    x = 18,816,823.17/5,195.06
  6. Step 6: Final answer
    x = 3,622.06

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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.