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Finding the Fourth Proportional to 3,474.82, 4,792.71 and 2,530.90

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Solution

The fourth proportional to 3,474.82, 4,792.71 and 2,530.90 is: 3,490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.82 : 4,792.71 = 2,530.90 : x
  2. Step 2: Convert to fraction form
    3,474.82/4,792.71 = 2,530.90/x
  3. Step 3: Cross multiply
    3,474.82x = 4,792.71 × 2,530.90
  4. Step 4: Simplify right side
    3,474.82x = 12,129,869.74
  5. Step 5: Solve for x
    x = 12,129,869.74/3,474.82
  6. Step 6: Final answer
    x = 3,490.79

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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.