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Finding the Fourth Proportional to 5,698.70, 8,548.05 and 5,261.30

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Solution

The fourth proportional to 5,698.70, 8,548.05 and 5,261.30 is: 7,891.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.70 : 8,548.05 = 5,261.30 : x
  2. Step 2: Convert to fraction form
    5,698.70/8,548.05 = 5,261.30/x
  3. Step 3: Cross multiply
    5,698.70x = 8,548.05 × 5,261.30
  4. Step 4: Simplify right side
    5,698.70x = 44,973,855.47
  5. Step 5: Solve for x
    x = 44,973,855.47/5,698.70
  6. Step 6: Final answer
    x = 7,891.95

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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.