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Finding the Fourth Proportional to 4,051.69, 6,078.04 and 1,454.63

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Solution

The fourth proportional to 4,051.69, 6,078.04 and 1,454.63 is: 2,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.69 : 6,078.04 = 1,454.63 : x
  2. Step 2: Convert to fraction form
    4,051.69/6,078.04 = 1,454.63/x
  3. Step 3: Cross multiply
    4,051.69x = 6,078.04 × 1,454.63
  4. Step 4: Simplify right side
    4,051.69x = 8,841,265.30
  5. Step 5: Solve for x
    x = 8,841,265.30/4,051.69
  6. Step 6: Final answer
    x = 2,182.12

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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.