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Finding the Fourth Proportional to 5,698.57, 8,548.71 and 2,000.15

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Solution

The fourth proportional to 5,698.57, 8,548.71 and 2,000.15 is: 3,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.57 : 8,548.71 = 2,000.15 : x
  2. Step 2: Convert to fraction form
    5,698.57/8,548.71 = 2,000.15/x
  3. Step 3: Cross multiply
    5,698.57x = 8,548.71 × 2,000.15
  4. Step 4: Simplify right side
    5,698.57x = 17,098,695.37
  5. Step 5: Solve for x
    x = 17,098,695.37/5,698.57
  6. Step 6: Final answer
    x = 3,000.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.