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Finding the Fourth Proportional to 5,236.70, 7,854.23 and 3,400.83

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Solution

The fourth proportional to 5,236.70, 7,854.23 and 3,400.83 is: 5,100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.70 : 7,854.23 = 3,400.83 : x
  2. Step 2: Convert to fraction form
    5,236.70/7,854.23 = 3,400.83/x
  3. Step 3: Cross multiply
    5,236.70x = 7,854.23 × 3,400.83
  4. Step 4: Simplify right side
    5,236.70x = 26,710,909.51
  5. Step 5: Solve for x
    x = 26,710,909.51/5,236.70
  6. Step 6: Final answer
    x = 5,100.72

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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.