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Finding the Fourth Proportional to 5,871.99, 8,100.64 and 5,200.47

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Solution

The fourth proportional to 5,871.99, 8,100.64 and 5,200.47 is: 7,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.99 : 8,100.64 = 5,200.47 : x
  2. Step 2: Convert to fraction form
    5,871.99/8,100.64 = 5,200.47/x
  3. Step 3: Cross multiply
    5,871.99x = 8,100.64 × 5,200.47
  4. Step 4: Simplify right side
    5,871.99x = 42,127,141.80
  5. Step 5: Solve for x
    x = 42,127,141.80/5,871.99
  6. Step 6: Final answer
    x = 7,174.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.