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Finding the Fourth Proportional to 3,497.66, 5,246.49 and 2,398.69

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Solution

The fourth proportional to 3,497.66, 5,246.49 and 2,398.69 is: 3,598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.66 : 5,246.49 = 2,398.69 : x
  2. Step 2: Convert to fraction form
    3,497.66/5,246.49 = 2,398.69/x
  3. Step 3: Cross multiply
    3,497.66x = 5,246.49 × 2,398.69
  4. Step 4: Simplify right side
    3,497.66x = 12,584,703.10
  5. Step 5: Solve for x
    x = 12,584,703.10/3,497.66
  6. Step 6: Final answer
    x = 3,598.04

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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.