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Finding the Fourth Proportional to 8,894.64, 13,334.04 and 3,697.20

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Solution

The fourth proportional to 8,894.64, 13,334.04 and 3,697.20 is: 5,542.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.64 : 13,334.04 = 3,697.20 : x
  2. Step 2: Convert to fraction form
    8,894.64/13,334.04 = 3,697.20/x
  3. Step 3: Cross multiply
    8,894.64x = 13,334.04 × 3,697.20
  4. Step 4: Simplify right side
    8,894.64x = 49,298,612.69
  5. Step 5: Solve for x
    x = 49,298,612.69/8,894.64
  6. Step 6: Final answer
    x = 5,542.51

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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.