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Finding the Fourth Proportional to 5,444.74, 7,513.32 and 3,206.26

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Solution

The fourth proportional to 5,444.74, 7,513.32 and 3,206.26 is: 4,424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444.74 : 7,513.32 = 3,206.26 : x
  2. Step 2: Convert to fraction form
    5,444.74/7,513.32 = 3,206.26/x
  3. Step 3: Cross multiply
    5,444.74x = 7,513.32 × 3,206.26
  4. Step 4: Simplify right side
    5,444.74x = 24,089,657.38
  5. Step 5: Solve for x
    x = 24,089,657.38/5,444.74
  6. Step 6: Final answer
    x = 4,424.39

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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.