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Finding the Fourth Proportional to 5,038.96, 6,951.52 and 2,942.16

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Solution

The fourth proportional to 5,038.96, 6,951.52 and 2,942.16 is: 4,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.96 : 6,951.52 = 2,942.16 : x
  2. Step 2: Convert to fraction form
    5,038.96/6,951.52 = 2,942.16/x
  3. Step 3: Cross multiply
    5,038.96x = 6,951.52 × 2,942.16
  4. Step 4: Simplify right side
    5,038.96x = 20,452,484.08
  5. Step 5: Solve for x
    x = 20,452,484.08/5,038.96
  6. Step 6: Final answer
    x = 4,058.87

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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.