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Finding the Fourth Proportional to 5,471.51, 7,548.81 and 3,113.06

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Solution

The fourth proportional to 5,471.51, 7,548.81 and 3,113.06 is: 4,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.51 : 7,548.81 = 3,113.06 : x
  2. Step 2: Convert to fraction form
    5,471.51/7,548.81 = 3,113.06/x
  3. Step 3: Cross multiply
    5,471.51x = 7,548.81 × 3,113.06
  4. Step 4: Simplify right side
    5,471.51x = 23,499,898.46
  5. Step 5: Solve for x
    x = 23,499,898.46/5,471.51
  6. Step 6: Final answer
    x = 4,294.96

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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.