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Finding the Fourth Proportional to 5,728.29, 7,904.63 and 3,176.02

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Solution

The fourth proportional to 5,728.29, 7,904.63 and 3,176.02 is: 4,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.29 : 7,904.63 = 3,176.02 : x
  2. Step 2: Convert to fraction form
    5,728.29/7,904.63 = 3,176.02/x
  3. Step 3: Cross multiply
    5,728.29x = 7,904.63 × 3,176.02
  4. Step 4: Simplify right side
    5,728.29x = 25,105,280.79
  5. Step 5: Solve for x
    x = 25,105,280.79/5,728.29
  6. Step 6: Final answer
    x = 4,382.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.