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Finding the Fourth Proportional to 6,230.01, 8,599.71 and 3,840.38

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Solution

The fourth proportional to 6,230.01, 8,599.71 and 3,840.38 is: 5,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.01 : 8,599.71 = 3,840.38 : x
  2. Step 2: Convert to fraction form
    6,230.01/8,599.71 = 3,840.38/x
  3. Step 3: Cross multiply
    6,230.01x = 8,599.71 × 3,840.38
  4. Step 4: Simplify right side
    6,230.01x = 33,026,111.29
  5. Step 5: Solve for x
    x = 33,026,111.29/6,230.01
  6. Step 6: Final answer
    x = 5,301.13

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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.