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Finding the Fourth Proportional to 5,693.52, 8,541.40 and 2,406.60

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Solution

The fourth proportional to 5,693.52, 8,541.40 and 2,406.60 is: 3,610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.52 : 8,541.40 = 2,406.60 : x
  2. Step 2: Convert to fraction form
    5,693.52/8,541.40 = 2,406.60/x
  3. Step 3: Cross multiply
    5,693.52x = 8,541.40 × 2,406.60
  4. Step 4: Simplify right side
    5,693.52x = 20,555,733.24
  5. Step 5: Solve for x
    x = 20,555,733.24/5,693.52
  6. Step 6: Final answer
    x = 3,610.37

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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.