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Finding the Fourth Proportional to 5,677.22, 7,835.55 and 3,440.33

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Solution

The fourth proportional to 5,677.22, 7,835.55 and 3,440.33 is: 4,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.22 : 7,835.55 = 3,440.33 : x
  2. Step 2: Convert to fraction form
    5,677.22/7,835.55 = 3,440.33/x
  3. Step 3: Cross multiply
    5,677.22x = 7,835.55 × 3,440.33
  4. Step 4: Simplify right side
    5,677.22x = 26,956,838.55
  5. Step 5: Solve for x
    x = 26,956,838.55/5,677.22
  6. Step 6: Final answer
    x = 4,748.25

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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.