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Finding the Fourth Proportional to 3,086.04, 4,253.54 and 2,459

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Solution

The fourth proportional to 3,086.04, 4,253.54 and 2,459 is: 3,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.04 : 4,253.54 = 2,459 : x
  2. Step 2: Convert to fraction form
    3,086.04/4,253.54 = 2,459/x
  3. Step 3: Cross multiply
    3,086.04x = 4,253.54 × 2,459
  4. Step 4: Simplify right side
    3,086.04x = 10,459,454.86
  5. Step 5: Solve for x
    x = 10,459,454.86/3,086.04
  6. Step 6: Final answer
    x = 3,389.28

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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.