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Finding the Fourth Proportional to 3,802.06, 5,702.10 and 1,609.66

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Solution

The fourth proportional to 3,802.06, 5,702.10 and 1,609.66 is: 2,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.06 : 5,702.10 = 1,609.66 : x
  2. Step 2: Convert to fraction form
    3,802.06/5,702.10 = 1,609.66/x
  3. Step 3: Cross multiply
    3,802.06x = 5,702.10 × 1,609.66
  4. Step 4: Simplify right side
    3,802.06x = 9,178,442.29
  5. Step 5: Solve for x
    x = 9,178,442.29/3,802.06
  6. Step 6: Final answer
    x = 2,414.07

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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.