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Finding the Fourth Proportional to 4,777.08, 7,165.62 and 1,314.48

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Solution

The fourth proportional to 4,777.08, 7,165.62 and 1,314.48 is: 1,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.08 : 7,165.62 = 1,314.48 : x
  2. Step 2: Convert to fraction form
    4,777.08/7,165.62 = 1,314.48/x
  3. Step 3: Cross multiply
    4,777.08x = 7,165.62 × 1,314.48
  4. Step 4: Simplify right side
    4,777.08x = 9,419,064.18
  5. Step 5: Solve for x
    x = 9,419,064.18/4,777.08
  6. Step 6: Final answer
    x = 1,971.72

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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.