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Finding the Fourth Proportional to 5,734.34, 8,602.73 and 1,841.48

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Solution

The fourth proportional to 5,734.34, 8,602.73 and 1,841.48 is: 2,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.34 : 8,602.73 = 1,841.48 : x
  2. Step 2: Convert to fraction form
    5,734.34/8,602.73 = 1,841.48/x
  3. Step 3: Cross multiply
    5,734.34x = 8,602.73 × 1,841.48
  4. Step 4: Simplify right side
    5,734.34x = 15,841,746.03
  5. Step 5: Solve for x
    x = 15,841,746.03/5,734.34
  6. Step 6: Final answer
    x = 2,762.61

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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.