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Finding the Fourth Proportional to 3,741.93, 5,162.61 and 2,416.53

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Solution

The fourth proportional to 3,741.93, 5,162.61 and 2,416.53 is: 3,334.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.93 : 5,162.61 = 2,416.53 : x
  2. Step 2: Convert to fraction form
    3,741.93/5,162.61 = 2,416.53/x
  3. Step 3: Cross multiply
    3,741.93x = 5,162.61 × 2,416.53
  4. Step 4: Simplify right side
    3,741.93x = 12,475,601.94
  5. Step 5: Solve for x
    x = 12,475,601.94/3,741.93
  6. Step 6: Final answer
    x = 3,334.00

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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.