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Finding the Fourth Proportional to 3,397.08, 5,095.34 and 2,405.80

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Solution

The fourth proportional to 3,397.08, 5,095.34 and 2,405.80 is: 3,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.08 : 5,095.34 = 2,405.80 : x
  2. Step 2: Convert to fraction form
    3,397.08/5,095.34 = 2,405.80/x
  3. Step 3: Cross multiply
    3,397.08x = 5,095.34 × 2,405.80
  4. Step 4: Simplify right side
    3,397.08x = 12,258,368.97
  5. Step 5: Solve for x
    x = 12,258,368.97/3,397.08
  6. Step 6: Final answer
    x = 3,608.50

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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.