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Finding the Fourth Proportional to 4,904.16, 7,356.24 and 1,441.68

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Solution

The fourth proportional to 4,904.16, 7,356.24 and 1,441.68 is: 2,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.16 : 7,356.24 = 1,441.68 : x
  2. Step 2: Convert to fraction form
    4,904.16/7,356.24 = 1,441.68/x
  3. Step 3: Cross multiply
    4,904.16x = 7,356.24 × 1,441.68
  4. Step 4: Simplify right side
    4,904.16x = 10,605,344.08
  5. Step 5: Solve for x
    x = 10,605,344.08/4,904.16
  6. Step 6: Final answer
    x = 2,162.52

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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.