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Finding the Fourth Proportional to 5,310.29, 7,328.94 and 3,823.13

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Solution

The fourth proportional to 5,310.29, 7,328.94 and 3,823.13 is: 5,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.29 : 7,328.94 = 3,823.13 : x
  2. Step 2: Convert to fraction form
    5,310.29/7,328.94 = 3,823.13/x
  3. Step 3: Cross multiply
    5,310.29x = 7,328.94 × 3,823.13
  4. Step 4: Simplify right side
    5,310.29x = 28,019,490.38
  5. Step 5: Solve for x
    x = 28,019,490.38/5,310.29
  6. Step 6: Final answer
    x = 5,276.45

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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.