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Finding the Fourth Proportional to 5,066.12, 7,594.54 and 1,777.42

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Solution

The fourth proportional to 5,066.12, 7,594.54 and 1,777.42 is: 2,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.12 : 7,594.54 = 1,777.42 : x
  2. Step 2: Convert to fraction form
    5,066.12/7,594.54 = 1,777.42/x
  3. Step 3: Cross multiply
    5,066.12x = 7,594.54 × 1,777.42
  4. Step 4: Simplify right side
    5,066.12x = 13,498,687.29
  5. Step 5: Solve for x
    x = 13,498,687.29/5,066.12
  6. Step 6: Final answer
    x = 2,664.50

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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.