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Finding the Fourth Proportional to 5,896.74, 8,840.10 and 2,562.48

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Solution

The fourth proportional to 5,896.74, 8,840.10 and 2,562.48 is: 3,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.74 : 8,840.10 = 2,562.48 : x
  2. Step 2: Convert to fraction form
    5,896.74/8,840.10 = 2,562.48/x
  3. Step 3: Cross multiply
    5,896.74x = 8,840.10 × 2,562.48
  4. Step 4: Simplify right side
    5,896.74x = 22,652,579.45
  5. Step 5: Solve for x
    x = 22,652,579.45/5,896.74
  6. Step 6: Final answer
    x = 3,841.54

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1.5x scale

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.