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Finding the Fourth Proportional to 5,100.70, 7,035.42 and 4,156.49

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Solution

The fourth proportional to 5,100.70, 7,035.42 and 4,156.49 is: 5,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.70 : 7,035.42 = 4,156.49 : x
  2. Step 2: Convert to fraction form
    5,100.70/7,035.42 = 4,156.49/x
  3. Step 3: Cross multiply
    5,100.70x = 7,035.42 × 4,156.49
  4. Step 4: Simplify right side
    5,100.70x = 29,242,648.73
  5. Step 5: Solve for x
    x = 29,242,648.73/5,100.70
  6. Step 6: Final answer
    x = 5,733.07

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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.