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Finding the Fourth Proportional to 5,698.71, 8,549.19 and 2,000.07

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Solution

The fourth proportional to 5,698.71, 8,549.19 and 2,000.07 is: 3,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.71 : 8,549.19 = 2,000.07 : x
  2. Step 2: Convert to fraction form
    5,698.71/8,549.19 = 2,000.07/x
  3. Step 3: Cross multiply
    5,698.71x = 8,549.19 × 2,000.07
  4. Step 4: Simplify right side
    5,698.71x = 17,098,978.44
  5. Step 5: Solve for x
    x = 17,098,978.44/5,698.71
  6. Step 6: Final answer
    x = 3,000.50

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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.