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Finding the Fourth Proportional to 5,685.68, 8,527.92 and 1,526.12

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Solution

The fourth proportional to 5,685.68, 8,527.92 and 1,526.12 is: 2,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.68 : 8,527.92 = 1,526.12 : x
  2. Step 2: Convert to fraction form
    5,685.68/8,527.92 = 1,526.12/x
  3. Step 3: Cross multiply
    5,685.68x = 8,527.92 × 1,526.12
  4. Step 4: Simplify right side
    5,685.68x = 13,014,629.27
  5. Step 5: Solve for x
    x = 13,014,629.27/5,685.68
  6. Step 6: Final answer
    x = 2,289.02

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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.