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Finding the Fourth Proportional to 5,241.98, 7,215.25 and 4,347.74

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Solution

The fourth proportional to 5,241.98, 7,215.25 and 4,347.74 is: 5,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.98 : 7,215.25 = 4,347.74 : x
  2. Step 2: Convert to fraction form
    5,241.98/7,215.25 = 4,347.74/x
  3. Step 3: Cross multiply
    5,241.98x = 7,215.25 × 4,347.74
  4. Step 4: Simplify right side
    5,241.98x = 31,370,031.04
  5. Step 5: Solve for x
    x = 31,370,031.04/5,241.98
  6. Step 6: Final answer
    x = 5,984.39

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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.