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Finding the Fourth Proportional to 4,042.77, 6,064.76 and 1,445.50

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Solution

The fourth proportional to 4,042.77, 6,064.76 and 1,445.50 is: 2,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042.77 : 6,064.76 = 1,445.50 : x
  2. Step 2: Convert to fraction form
    4,042.77/6,064.76 = 1,445.50/x
  3. Step 3: Cross multiply
    4,042.77x = 6,064.76 × 1,445.50
  4. Step 4: Simplify right side
    4,042.77x = 8,766,610.58
  5. Step 5: Solve for x
    x = 8,766,610.58/4,042.77
  6. Step 6: Final answer
    x = 2,168.47

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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.