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Finding the Fourth Proportional to 5,137.70, 7,700.54 and 2,364.62

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Solution

The fourth proportional to 5,137.70, 7,700.54 and 2,364.62 is: 3,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.70 : 7,700.54 = 2,364.62 : x
  2. Step 2: Convert to fraction form
    5,137.70/7,700.54 = 2,364.62/x
  3. Step 3: Cross multiply
    5,137.70x = 7,700.54 × 2,364.62
  4. Step 4: Simplify right side
    5,137.70x = 18,208,800.57
  5. Step 5: Solve for x
    x = 18,208,800.57/5,137.70
  6. Step 6: Final answer
    x = 3,544.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.