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Finding the Fourth Proportional to 5,114.06, 7,665.06 and 2,924.30

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Solution

The fourth proportional to 5,114.06, 7,665.06 and 2,924.30 is: 4,383.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.06 : 7,665.06 = 2,924.30 : x
  2. Step 2: Convert to fraction form
    5,114.06/7,665.06 = 2,924.30/x
  3. Step 3: Cross multiply
    5,114.06x = 7,665.06 × 2,924.30
  4. Step 4: Simplify right side
    5,114.06x = 22,414,934.96
  5. Step 5: Solve for x
    x = 22,414,934.96/5,114.06
  6. Step 6: Final answer
    x = 4,383.00

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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.