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Finding the Fourth Proportional to 5,472.96, 7,552.16 and 3,235.68

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Solution

The fourth proportional to 5,472.96, 7,552.16 and 3,235.68 is: 4,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.96 : 7,552.16 = 3,235.68 : x
  2. Step 2: Convert to fraction form
    5,472.96/7,552.16 = 3,235.68/x
  3. Step 3: Cross multiply
    5,472.96x = 7,552.16 × 3,235.68
  4. Step 4: Simplify right side
    5,472.96x = 24,436,373.07
  5. Step 5: Solve for x
    x = 24,436,373.07/5,472.96
  6. Step 6: Final answer
    x = 4,464.93

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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.