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Finding the Fourth Proportional to 3,840.47, 5,300.25 and 2,349.38

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Solution

The fourth proportional to 3,840.47, 5,300.25 and 2,349.38 is: 3,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.47 : 5,300.25 = 2,349.38 : x
  2. Step 2: Convert to fraction form
    3,840.47/5,300.25 = 2,349.38/x
  3. Step 3: Cross multiply
    3,840.47x = 5,300.25 × 2,349.38
  4. Step 4: Simplify right side
    3,840.47x = 12,452,294.18
  5. Step 5: Solve for x
    x = 12,452,294.18/3,840.47
  6. Step 6: Final answer
    x = 3,242.39

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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.