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Finding the Fourth Proportional to 4,655.26, 6,424.26 and 2,559.39

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Solution

The fourth proportional to 4,655.26, 6,424.26 and 2,559.39 is: 3,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.26 : 6,424.26 = 2,559.39 : x
  2. Step 2: Convert to fraction form
    4,655.26/6,424.26 = 2,559.39/x
  3. Step 3: Cross multiply
    4,655.26x = 6,424.26 × 2,559.39
  4. Step 4: Simplify right side
    4,655.26x = 16,442,186.80
  5. Step 5: Solve for x
    x = 16,442,186.80/4,655.26
  6. Step 6: Final answer
    x = 3,531.96

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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.