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Finding the Fourth Proportional to 5,677.48, 7,835.70 and 3,320.20

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Solution

The fourth proportional to 5,677.48, 7,835.70 and 3,320.20 is: 4,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.48 : 7,835.70 = 3,320.20 : x
  2. Step 2: Convert to fraction form
    5,677.48/7,835.70 = 3,320.20/x
  3. Step 3: Cross multiply
    5,677.48x = 7,835.70 × 3,320.20
  4. Step 4: Simplify right side
    5,677.48x = 26,016,091.14
  5. Step 5: Solve for x
    x = 26,016,091.14/5,677.48
  6. Step 6: Final answer
    x = 4,582.33

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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.