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Finding the Fourth Proportional to 5,662.59, 7,814.42 and 3,425.95

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Solution

The fourth proportional to 5,662.59, 7,814.42 and 3,425.95 is: 4,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.59 : 7,814.42 = 3,425.95 : x
  2. Step 2: Convert to fraction form
    5,662.59/7,814.42 = 3,425.95/x
  3. Step 3: Cross multiply
    5,662.59x = 7,814.42 × 3,425.95
  4. Step 4: Simplify right side
    5,662.59x = 26,771,812.20
  5. Step 5: Solve for x
    x = 26,771,812.20/5,662.59
  6. Step 6: Final answer
    x = 4,727.84

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1.5x scale

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.