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Finding the Fourth Proportional to 5,094.31, 7,644.06 and 2,464.07

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Solution

The fourth proportional to 5,094.31, 7,644.06 and 2,464.07 is: 3,697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.31 : 7,644.06 = 2,464.07 : x
  2. Step 2: Convert to fraction form
    5,094.31/7,644.06 = 2,464.07/x
  3. Step 3: Cross multiply
    5,094.31x = 7,644.06 × 2,464.07
  4. Step 4: Simplify right side
    5,094.31x = 18,835,448.38
  5. Step 5: Solve for x
    x = 18,835,448.38/5,094.31
  6. Step 6: Final answer
    x = 3,697.35

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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.