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Finding the Fourth Proportional to 5,444, 8,141.08 and 4,058.28

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Solution

The fourth proportional to 5,444, 8,141.08 and 4,058.28 is: 6,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444 : 8,141.08 = 4,058.28 : x
  2. Step 2: Convert to fraction form
    5,444/8,141.08 = 4,058.28/x
  3. Step 3: Cross multiply
    5,444x = 8,141.08 × 4,058.28
  4. Step 4: Simplify right side
    5,444x = 33,038,782.14
  5. Step 5: Solve for x
    x = 33,038,782.14/5,444
  6. Step 6: Final answer
    x = 6,068.84

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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.