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Finding the Fourth Proportional to 5,978.00, 8,250.56 and 4,559.29

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Solution

The fourth proportional to 5,978.00, 8,250.56 and 4,559.29 is: 6,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.00 : 8,250.56 = 4,559.29 : x
  2. Step 2: Convert to fraction form
    5,978.00/8,250.56 = 4,559.29/x
  3. Step 3: Cross multiply
    5,978.00x = 8,250.56 × 4,559.29
  4. Step 4: Simplify right side
    5,978.00x = 37,616,669.38
  5. Step 5: Solve for x
    x = 37,616,669.38/5,978.00
  6. Step 6: Final answer
    x = 6,292.51

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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.