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Finding the Fourth Proportional to 4,737.96, 6,531.44 and 3,741.66

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Solution

The fourth proportional to 4,737.96, 6,531.44 and 3,741.66 is: 5,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.96 : 6,531.44 = 3,741.66 : x
  2. Step 2: Convert to fraction form
    4,737.96/6,531.44 = 3,741.66/x
  3. Step 3: Cross multiply
    4,737.96x = 6,531.44 × 3,741.66
  4. Step 4: Simplify right side
    4,737.96x = 24,438,409.08
  5. Step 5: Solve for x
    x = 24,438,409.08/4,737.96
  6. Step 6: Final answer
    x = 5,158.00

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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.