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Finding the Fourth Proportional to 5,661.60, 7,814.64 and 3,423.48

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Solution

The fourth proportional to 5,661.60, 7,814.64 and 3,423.48 is: 4,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.60 : 7,814.64 = 3,423.48 : x
  2. Step 2: Convert to fraction form
    5,661.60/7,814.64 = 3,423.48/x
  3. Step 3: Cross multiply
    5,661.60x = 7,814.64 × 3,423.48
  4. Step 4: Simplify right side
    5,661.60x = 26,753,263.75
  5. Step 5: Solve for x
    x = 26,753,263.75/5,661.60
  6. Step 6: Final answer
    x = 4,725.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.