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Finding the Fourth Proportional to 3,473.64, 5,209.40 and 1,392.92

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Solution

The fourth proportional to 3,473.64, 5,209.40 and 1,392.92 is: 2,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.64 : 5,209.40 = 1,392.92 : x
  2. Step 2: Convert to fraction form
    3,473.64/5,209.40 = 1,392.92/x
  3. Step 3: Cross multiply
    3,473.64x = 5,209.40 × 1,392.92
  4. Step 4: Simplify right side
    3,473.64x = 7,256,277.45
  5. Step 5: Solve for x
    x = 7,256,277.45/3,473.64
  6. Step 6: Final answer
    x = 2,088.95

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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.