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Finding the Fourth Proportional to 5,784.90, 8,674.92 and 3,937.02

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Solution

The fourth proportional to 5,784.90, 8,674.92 and 3,937.02 is: 5,903.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.90 : 8,674.92 = 3,937.02 : x
  2. Step 2: Convert to fraction form
    5,784.90/8,674.92 = 3,937.02/x
  3. Step 3: Cross multiply
    5,784.90x = 8,674.92 × 3,937.02
  4. Step 4: Simplify right side
    5,784.90x = 34,153,333.54
  5. Step 5: Solve for x
    x = 34,153,333.54/5,784.90
  6. Step 6: Final answer
    x = 5,903.88

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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.