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Finding the Fourth Proportional to 5,124.86, 7,687.43 and 2,004.74

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Solution

The fourth proportional to 5,124.86, 7,687.43 and 2,004.74 is: 3,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.86 : 7,687.43 = 2,004.74 : x
  2. Step 2: Convert to fraction form
    5,124.86/7,687.43 = 2,004.74/x
  3. Step 3: Cross multiply
    5,124.86x = 7,687.43 × 2,004.74
  4. Step 4: Simplify right side
    5,124.86x = 15,411,249.96
  5. Step 5: Solve for x
    x = 15,411,249.96/5,124.86
  6. Step 6: Final answer
    x = 3,007.16

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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.