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Finding the Fourth Proportional to 5,677.64, 7,833.32 and 3,438.80

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Solution

The fourth proportional to 5,677.64, 7,833.32 and 3,438.80 is: 4,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.64 : 7,833.32 = 3,438.80 : x
  2. Step 2: Convert to fraction form
    5,677.64/7,833.32 = 3,438.80/x
  3. Step 3: Cross multiply
    5,677.64x = 7,833.32 × 3,438.80
  4. Step 4: Simplify right side
    5,677.64x = 26,937,220.82
  5. Step 5: Solve for x
    x = 26,937,220.82/5,677.64
  6. Step 6: Final answer
    x = 4,744.44

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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.