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Finding the Fourth Proportional to 5,600.91, 8,402.60 and 1,705.22

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Solution

The fourth proportional to 5,600.91, 8,402.60 and 1,705.22 is: 2,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.91 : 8,402.60 = 1,705.22 : x
  2. Step 2: Convert to fraction form
    5,600.91/8,402.60 = 1,705.22/x
  3. Step 3: Cross multiply
    5,600.91x = 8,402.60 × 1,705.22
  4. Step 4: Simplify right side
    5,600.91x = 14,328,275.33
  5. Step 5: Solve for x
    x = 14,328,275.33/5,600.91
  6. Step 6: Final answer
    x = 2,558.20

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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.