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Finding the Fourth Proportional to 4,822.32, 7,233.48 and 1,744.32

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Solution

The fourth proportional to 4,822.32, 7,233.48 and 1,744.32 is: 2,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.32 : 7,233.48 = 1,744.32 : x
  2. Step 2: Convert to fraction form
    4,822.32/7,233.48 = 1,744.32/x
  3. Step 3: Cross multiply
    4,822.32x = 7,233.48 × 1,744.32
  4. Step 4: Simplify right side
    4,822.32x = 12,617,503.83
  5. Step 5: Solve for x
    x = 12,617,503.83/4,822.32
  6. Step 6: Final answer
    x = 2,616.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.