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Finding the Fourth Proportional to 5,684.51, 8,527.92 and 2,397.60

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Solution

The fourth proportional to 5,684.51, 8,527.92 and 2,397.60 is: 3,596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.51 : 8,527.92 = 2,397.60 : x
  2. Step 2: Convert to fraction form
    5,684.51/8,527.92 = 2,397.60/x
  3. Step 3: Cross multiply
    5,684.51x = 8,527.92 × 2,397.60
  4. Step 4: Simplify right side
    5,684.51x = 20,446,532.00
  5. Step 5: Solve for x
    x = 20,446,532.00/5,684.51
  6. Step 6: Final answer
    x = 3,596.88

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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.