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Finding the Fourth Proportional to 3,841.91, 5,762.86 and 1,068.58

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Solution

The fourth proportional to 3,841.91, 5,762.86 and 1,068.58 is: 1,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.91 : 5,762.86 = 1,068.58 : x
  2. Step 2: Convert to fraction form
    3,841.91/5,762.86 = 1,068.58/x
  3. Step 3: Cross multiply
    3,841.91x = 5,762.86 × 1,068.58
  4. Step 4: Simplify right side
    3,841.91x = 6,158,076.94
  5. Step 5: Solve for x
    x = 6,158,076.94/3,841.91
  6. Step 6: Final answer
    x = 1,602.87

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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.