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Finding the Fourth Proportional to 3,363.71, 5,042.32 and 1,802.57

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Solution

The fourth proportional to 3,363.71, 5,042.32 and 1,802.57 is: 2,702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.71 : 5,042.32 = 1,802.57 : x
  2. Step 2: Convert to fraction form
    3,363.71/5,042.32 = 1,802.57/x
  3. Step 3: Cross multiply
    3,363.71x = 5,042.32 × 1,802.57
  4. Step 4: Simplify right side
    3,363.71x = 9,089,105.04
  5. Step 5: Solve for x
    x = 9,089,105.04/3,363.71
  6. Step 6: Final answer
    x = 2,702.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.