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Finding the Fourth Proportional to 5,970.64, 8,937.24 and 3,771.76

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Solution

The fourth proportional to 5,970.64, 8,937.24 and 3,771.76 is: 5,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.64 : 8,937.24 = 3,771.76 : x
  2. Step 2: Convert to fraction form
    5,970.64/8,937.24 = 3,771.76/x
  3. Step 3: Cross multiply
    5,970.64x = 8,937.24 × 3,771.76
  4. Step 4: Simplify right side
    5,970.64x = 33,709,124.34
  5. Step 5: Solve for x
    x = 33,709,124.34/5,970.64
  6. Step 6: Final answer
    x = 5,645.81

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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.