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Finding the Fourth Proportional to 5,375.56, 7,417.77 and 4,259.26

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Solution

The fourth proportional to 5,375.56, 7,417.77 and 4,259.26 is: 5,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.56 : 7,417.77 = 4,259.26 : x
  2. Step 2: Convert to fraction form
    5,375.56/7,417.77 = 4,259.26/x
  3. Step 3: Cross multiply
    5,375.56x = 7,417.77 × 4,259.26
  4. Step 4: Simplify right side
    5,375.56x = 31,594,211.05
  5. Step 5: Solve for x
    x = 31,594,211.05/5,375.56
  6. Step 6: Final answer
    x = 5,877.38

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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.