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Finding the Fourth Proportional to 5,710.68, 8,564.70 and 2,199.54

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Solution

The fourth proportional to 5,710.68, 8,564.70 and 2,199.54 is: 3,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.68 : 8,564.70 = 2,199.54 : x
  2. Step 2: Convert to fraction form
    5,710.68/8,564.70 = 2,199.54/x
  3. Step 3: Cross multiply
    5,710.68x = 8,564.70 × 2,199.54
  4. Step 4: Simplify right side
    5,710.68x = 18,838,400.24
  5. Step 5: Solve for x
    x = 18,838,400.24/5,710.68
  6. Step 6: Final answer
    x = 3,298.80

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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.