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Finding the Fourth Proportional to 5,686.81, 8,532.81 and 2,567.64

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Solution

The fourth proportional to 5,686.81, 8,532.81 and 2,567.64 is: 3,852.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.81 : 8,532.81 = 2,567.64 : x
  2. Step 2: Convert to fraction form
    5,686.81/8,532.81 = 2,567.64/x
  3. Step 3: Cross multiply
    5,686.81x = 8,532.81 × 2,567.64
  4. Step 4: Simplify right side
    5,686.81x = 21,909,184.27
  5. Step 5: Solve for x
    x = 21,909,184.27/5,686.81
  6. Step 6: Final answer
    x = 3,852.63

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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.