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Finding the Fourth Proportional to 5,755.06, 8,633.16 and 2,291.50

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Solution

The fourth proportional to 5,755.06, 8,633.16 and 2,291.50 is: 3,437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.06 : 8,633.16 = 2,291.50 : x
  2. Step 2: Convert to fraction form
    5,755.06/8,633.16 = 2,291.50/x
  3. Step 3: Cross multiply
    5,755.06x = 8,633.16 × 2,291.50
  4. Step 4: Simplify right side
    5,755.06x = 19,782,886.14
  5. Step 5: Solve for x
    x = 19,782,886.14/5,755.06
  6. Step 6: Final answer
    x = 3,437.48

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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.