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Finding the Fourth Proportional to 4,739.53, 7,109.48 and 1,777.66

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Solution

The fourth proportional to 4,739.53, 7,109.48 and 1,777.66 is: 2,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.53 : 7,109.48 = 1,777.66 : x
  2. Step 2: Convert to fraction form
    4,739.53/7,109.48 = 1,777.66/x
  3. Step 3: Cross multiply
    4,739.53x = 7,109.48 × 1,777.66
  4. Step 4: Simplify right side
    4,739.53x = 12,638,238.22
  5. Step 5: Solve for x
    x = 12,638,238.22/4,739.53
  6. Step 6: Final answer
    x = 2,666.56

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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.