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Finding the Fourth Proportional to 7,052.48, 9,731.73 and 4,219.28

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Solution

The fourth proportional to 7,052.48, 9,731.73 and 4,219.28 is: 5,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.48 : 9,731.73 = 4,219.28 : x
  2. Step 2: Convert to fraction form
    7,052.48/9,731.73 = 4,219.28/x
  3. Step 3: Cross multiply
    7,052.48x = 9,731.73 × 4,219.28
  4. Step 4: Simplify right side
    7,052.48x = 41,060,845.10
  5. Step 5: Solve for x
    x = 41,060,845.10/7,052.48
  6. Step 6: Final answer
    x = 5,822.19

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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.