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Finding the Fourth Proportional to 5,383.44, 7,442.40 and 5,334.16

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Solution

The fourth proportional to 5,383.44, 7,442.40 and 5,334.16 is: 7,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.44 : 7,442.40 = 5,334.16 : x
  2. Step 2: Convert to fraction form
    5,383.44/7,442.40 = 5,334.16/x
  3. Step 3: Cross multiply
    5,383.44x = 7,442.40 × 5,334.16
  4. Step 4: Simplify right side
    5,383.44x = 39,698,952.38
  5. Step 5: Solve for x
    x = 39,698,952.38/5,383.44
  6. Step 6: Final answer
    x = 7,374.27

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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.