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Finding the Fourth Proportional to 5,152.64, 7,709.81 and 3,073.78

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Solution

The fourth proportional to 5,152.64, 7,709.81 and 3,073.78 is: 4,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.64 : 7,709.81 = 3,073.78 : x
  2. Step 2: Convert to fraction form
    5,152.64/7,709.81 = 3,073.78/x
  3. Step 3: Cross multiply
    5,152.64x = 7,709.81 × 3,073.78
  4. Step 4: Simplify right side
    5,152.64x = 23,698,221.23
  5. Step 5: Solve for x
    x = 23,698,221.23/5,152.64
  6. Step 6: Final answer
    x = 4,599.24

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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.