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Finding the Fourth Proportional to 3,497.18, 4,826.02 and 2,005.98

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Solution

The fourth proportional to 3,497.18, 4,826.02 and 2,005.98 is: 2,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.18 : 4,826.02 = 2,005.98 : x
  2. Step 2: Convert to fraction form
    3,497.18/4,826.02 = 2,005.98/x
  3. Step 3: Cross multiply
    3,497.18x = 4,826.02 × 2,005.98
  4. Step 4: Simplify right side
    3,497.18x = 9,680,899.60
  5. Step 5: Solve for x
    x = 9,680,899.60/3,497.18
  6. Step 6: Final answer
    x = 2,768.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.