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Finding the Fourth Proportional to 5,712.06, 7,879.35 and 3,353.74

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Solution

The fourth proportional to 5,712.06, 7,879.35 and 3,353.74 is: 4,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.06 : 7,879.35 = 3,353.74 : x
  2. Step 2: Convert to fraction form
    5,712.06/7,879.35 = 3,353.74/x
  3. Step 3: Cross multiply
    5,712.06x = 7,879.35 × 3,353.74
  4. Step 4: Simplify right side
    5,712.06x = 26,425,291.27
  5. Step 5: Solve for x
    x = 26,425,291.27/5,712.06
  6. Step 6: Final answer
    x = 4,626.23

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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.