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Finding the Fourth Proportional to 5,407.67, 8,123.02 and 5,091.66

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Solution

The fourth proportional to 5,407.67, 8,123.02 and 5,091.66 is: 7,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.67 : 8,123.02 = 5,091.66 : x
  2. Step 2: Convert to fraction form
    5,407.67/8,123.02 = 5,091.66/x
  3. Step 3: Cross multiply
    5,407.67x = 8,123.02 × 5,091.66
  4. Step 4: Simplify right side
    5,407.67x = 41,359,656.01
  5. Step 5: Solve for x
    x = 41,359,656.01/5,407.67
  6. Step 6: Final answer
    x = 7,648.34

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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.