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Finding the Fourth Proportional to 5,123.31, 7,070.31 and 3,133.83

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Solution

The fourth proportional to 5,123.31, 7,070.31 and 3,133.83 is: 4,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.31 : 7,070.31 = 3,133.83 : x
  2. Step 2: Convert to fraction form
    5,123.31/7,070.31 = 3,133.83/x
  3. Step 3: Cross multiply
    5,123.31x = 7,070.31 × 3,133.83
  4. Step 4: Simplify right side
    5,123.31x = 22,157,149.59
  5. Step 5: Solve for x
    x = 22,157,149.59/5,123.31
  6. Step 6: Final answer
    x = 4,324.77

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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.