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Finding the Fourth Proportional to 5,230.38, 7,837.20 and 4,699.28

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Solution

The fourth proportional to 5,230.38, 7,837.20 and 4,699.28 is: 7,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.38 : 7,837.20 = 4,699.28 : x
  2. Step 2: Convert to fraction form
    5,230.38/7,837.20 = 4,699.28/x
  3. Step 3: Cross multiply
    5,230.38x = 7,837.20 × 4,699.28
  4. Step 4: Simplify right side
    5,230.38x = 36,829,158.03
  5. Step 5: Solve for x
    x = 36,829,158.03/5,230.38
  6. Step 6: Final answer
    x = 7,041.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.