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Finding the Fourth Proportional to 5,580.26, 7,701 and 3,342.50

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Solution

The fourth proportional to 5,580.26, 7,701 and 3,342.50 is: 4,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.26 : 7,701 = 3,342.50 : x
  2. Step 2: Convert to fraction form
    5,580.26/7,701 = 3,342.50/x
  3. Step 3: Cross multiply
    5,580.26x = 7,701 × 3,342.50
  4. Step 4: Simplify right side
    5,580.26x = 25,740,592.50
  5. Step 5: Solve for x
    x = 25,740,592.50/5,580.26
  6. Step 6: Final answer
    x = 4,612.79

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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.