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Finding the Fourth Proportional to 4,176.81, 5,760.81 and 2,920.08

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Solution

The fourth proportional to 4,176.81, 5,760.81 and 2,920.08 is: 4,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.81 : 5,760.81 = 2,920.08 : x
  2. Step 2: Convert to fraction form
    4,176.81/5,760.81 = 2,920.08/x
  3. Step 3: Cross multiply
    4,176.81x = 5,760.81 × 2,920.08
  4. Step 4: Simplify right side
    4,176.81x = 16,822,026.06
  5. Step 5: Solve for x
    x = 16,822,026.06/4,176.81
  6. Step 6: Final answer
    x = 4,027.48

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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.