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Finding the Fourth Proportional to 5,699.22, 8,549.24 and 1,749.96

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Solution

The fourth proportional to 5,699.22, 8,549.24 and 1,749.96 is: 2,625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.22 : 8,549.24 = 1,749.96 : x
  2. Step 2: Convert to fraction form
    5,699.22/8,549.24 = 1,749.96/x
  3. Step 3: Cross multiply
    5,699.22x = 8,549.24 × 1,749.96
  4. Step 4: Simplify right side
    5,699.22x = 14,960,828.03
  5. Step 5: Solve for x
    x = 14,960,828.03/5,699.22
  6. Step 6: Final answer
    x = 2,625.07

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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.