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Finding the Fourth Proportional to 5,415.76, 7,472.91 and 3,057.85

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Solution

The fourth proportional to 5,415.76, 7,472.91 and 3,057.85 is: 4,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.76 : 7,472.91 = 3,057.85 : x
  2. Step 2: Convert to fraction form
    5,415.76/7,472.91 = 3,057.85/x
  3. Step 3: Cross multiply
    5,415.76x = 7,472.91 × 3,057.85
  4. Step 4: Simplify right side
    5,415.76x = 22,851,041.45
  5. Step 5: Solve for x
    x = 22,851,041.45/5,415.76
  6. Step 6: Final answer
    x = 4,219.36

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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.