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Finding the Fourth Proportional to 4,472.88, 6,175.36 and 2,880.24

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Solution

The fourth proportional to 4,472.88, 6,175.36 and 2,880.24 is: 3,976.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.88 : 6,175.36 = 2,880.24 : x
  2. Step 2: Convert to fraction form
    4,472.88/6,175.36 = 2,880.24/x
  3. Step 3: Cross multiply
    4,472.88x = 6,175.36 × 2,880.24
  4. Step 4: Simplify right side
    4,472.88x = 17,786,518.89
  5. Step 5: Solve for x
    x = 17,786,518.89/4,472.88
  6. Step 6: Final answer
    x = 3,976.52

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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.