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Finding the Fourth Proportional to 3,086.49, 4,259.04 and 1,827.30

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Solution

The fourth proportional to 3,086.49, 4,259.04 and 1,827.30 is: 2,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.49 : 4,259.04 = 1,827.30 : x
  2. Step 2: Convert to fraction form
    3,086.49/4,259.04 = 1,827.30/x
  3. Step 3: Cross multiply
    3,086.49x = 4,259.04 × 1,827.30
  4. Step 4: Simplify right side
    3,086.49x = 7,782,543.79
  5. Step 5: Solve for x
    x = 7,782,543.79/3,086.49
  6. Step 6: Final answer
    x = 2,521.49

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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.