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Finding the Fourth Proportional to 4,002.98, 6,005.19 and 2,053.58

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Solution

The fourth proportional to 4,002.98, 6,005.19 and 2,053.58 is: 3,080.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.98 : 6,005.19 = 2,053.58 : x
  2. Step 2: Convert to fraction form
    4,002.98/6,005.19 = 2,053.58/x
  3. Step 3: Cross multiply
    4,002.98x = 6,005.19 × 2,053.58
  4. Step 4: Simplify right side
    4,002.98x = 12,332,138.08
  5. Step 5: Solve for x
    x = 12,332,138.08/4,002.98
  6. Step 6: Final answer
    x = 3,080.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.