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Finding the Fourth Proportional to 5,653.24, 7,792.48 and 4,456.28

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Solution

The fourth proportional to 5,653.24, 7,792.48 and 4,456.28 is: 6,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.24 : 7,792.48 = 4,456.28 : x
  2. Step 2: Convert to fraction form
    5,653.24/7,792.48 = 4,456.28/x
  3. Step 3: Cross multiply
    5,653.24x = 7,792.48 × 4,456.28
  4. Step 4: Simplify right side
    5,653.24x = 34,725,481.11
  5. Step 5: Solve for x
    x = 34,725,481.11/5,653.24
  6. Step 6: Final answer
    x = 6,142.58

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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.