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Finding the Fourth Proportional to 5,111.37, 7,709.54 and 4,502.70

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Solution

The fourth proportional to 5,111.37, 7,709.54 and 4,502.70 is: 6,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.37 : 7,709.54 = 4,502.70 : x
  2. Step 2: Convert to fraction form
    5,111.37/7,709.54 = 4,502.70/x
  3. Step 3: Cross multiply
    5,111.37x = 7,709.54 × 4,502.70
  4. Step 4: Simplify right side
    5,111.37x = 34,713,723.24
  5. Step 5: Solve for x
    x = 34,713,723.24/5,111.37
  6. Step 6: Final answer
    x = 6,791.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.