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Finding the Fourth Proportional to 4,992.16, 7,473.84 and 3,840.16

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Solution

The fourth proportional to 4,992.16, 7,473.84 and 3,840.16 is: 5,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.16 : 7,473.84 = 3,840.16 : x
  2. Step 2: Convert to fraction form
    4,992.16/7,473.84 = 3,840.16/x
  3. Step 3: Cross multiply
    4,992.16x = 7,473.84 × 3,840.16
  4. Step 4: Simplify right side
    4,992.16x = 28,700,741.41
  5. Step 5: Solve for x
    x = 28,700,741.41/4,992.16
  6. Step 6: Final answer
    x = 5,749.16

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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.