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Finding the Fourth Proportional to 5,364.62, 7,404.99 and 3,378.50

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Solution

The fourth proportional to 5,364.62, 7,404.99 and 3,378.50 is: 4,663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.62 : 7,404.99 = 3,378.50 : x
  2. Step 2: Convert to fraction form
    5,364.62/7,404.99 = 3,378.50/x
  3. Step 3: Cross multiply
    5,364.62x = 7,404.99 × 3,378.50
  4. Step 4: Simplify right side
    5,364.62x = 25,017,758.72
  5. Step 5: Solve for x
    x = 25,017,758.72/5,364.62
  6. Step 6: Final answer
    x = 4,663.47

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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.