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Finding the Fourth Proportional to 3,505.76, 4,832.72 and 2,942

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Solution

The fourth proportional to 3,505.76, 4,832.72 and 2,942 is: 4,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.76 : 4,832.72 = 2,942 : x
  2. Step 2: Convert to fraction form
    3,505.76/4,832.72 = 2,942/x
  3. Step 3: Cross multiply
    3,505.76x = 4,832.72 × 2,942
  4. Step 4: Simplify right side
    3,505.76x = 14,217,862.24
  5. Step 5: Solve for x
    x = 14,217,862.24/3,505.76
  6. Step 6: Final answer
    x = 4,055.57

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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.