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Finding the Fourth Proportional to 5,701.84, 7,866.36 and 3,462.92

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Solution

The fourth proportional to 5,701.84, 7,866.36 and 3,462.92 is: 4,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.84 : 7,866.36 = 3,462.92 : x
  2. Step 2: Convert to fraction form
    5,701.84/7,866.36 = 3,462.92/x
  3. Step 3: Cross multiply
    5,701.84x = 7,866.36 × 3,462.92
  4. Step 4: Simplify right side
    5,701.84x = 27,240,575.37
  5. Step 5: Solve for x
    x = 27,240,575.37/5,701.84
  6. Step 6: Final answer
    x = 4,777.51

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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.