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Finding the Fourth Proportional to 5,181.96, 7,155.06 and 4,238.76

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Solution

The fourth proportional to 5,181.96, 7,155.06 and 4,238.76 is: 5,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.96 : 7,155.06 = 4,238.76 : x
  2. Step 2: Convert to fraction form
    5,181.96/7,155.06 = 4,238.76/x
  3. Step 3: Cross multiply
    5,181.96x = 7,155.06 × 4,238.76
  4. Step 4: Simplify right side
    5,181.96x = 30,328,582.13
  5. Step 5: Solve for x
    x = 30,328,582.13/5,181.96
  6. Step 6: Final answer
    x = 5,852.72

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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.