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Finding the Fourth Proportional to 3,497.49, 4,826.21 and 2,835.95

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Solution

The fourth proportional to 3,497.49, 4,826.21 and 2,835.95 is: 3,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.49 : 4,826.21 = 2,835.95 : x
  2. Step 2: Convert to fraction form
    3,497.49/4,826.21 = 2,835.95/x
  3. Step 3: Cross multiply
    3,497.49x = 4,826.21 × 2,835.95
  4. Step 4: Simplify right side
    3,497.49x = 13,686,851.94
  5. Step 5: Solve for x
    x = 13,686,851.94/3,497.49
  6. Step 6: Final answer
    x = 3,913.34

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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.