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Finding the Fourth Proportional to 4,777.72, 6,596.47 and 3,656.66

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Solution

The fourth proportional to 4,777.72, 6,596.47 and 3,656.66 is: 5,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.72 : 6,596.47 = 3,656.66 : x
  2. Step 2: Convert to fraction form
    4,777.72/6,596.47 = 3,656.66/x
  3. Step 3: Cross multiply
    4,777.72x = 6,596.47 × 3,656.66
  4. Step 4: Simplify right side
    4,777.72x = 24,121,022.36
  5. Step 5: Solve for x
    x = 24,121,022.36/4,777.72
  6. Step 6: Final answer
    x = 5,048.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.