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Finding the Fourth Proportional to 3,685.64, 5,520.36 and 2,383.16

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Solution

The fourth proportional to 3,685.64, 5,520.36 and 2,383.16 is: 3,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.64 : 5,520.36 = 2,383.16 : x
  2. Step 2: Convert to fraction form
    3,685.64/5,520.36 = 2,383.16/x
  3. Step 3: Cross multiply
    3,685.64x = 5,520.36 × 2,383.16
  4. Step 4: Simplify right side
    3,685.64x = 13,155,901.14
  5. Step 5: Solve for x
    x = 13,155,901.14/3,685.64
  6. Step 6: Final answer
    x = 3,569.50

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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.