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Finding the Fourth Proportional to 5,685.78, 8,541.63 and 5,452.50

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Solution

The fourth proportional to 5,685.78, 8,541.63 and 5,452.50 is: 8,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.78 : 8,541.63 = 5,452.50 : x
  2. Step 2: Convert to fraction form
    5,685.78/8,541.63 = 5,452.50/x
  3. Step 3: Cross multiply
    5,685.78x = 8,541.63 × 5,452.50
  4. Step 4: Simplify right side
    5,685.78x = 46,573,237.58
  5. Step 5: Solve for x
    x = 46,573,237.58/5,685.78
  6. Step 6: Final answer
    x = 8,191.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.