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Finding the Fourth Proportional to 3,734.71, 5,602.91 and 1,269.54

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Solution

The fourth proportional to 3,734.71, 5,602.91 and 1,269.54 is: 1,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.71 : 5,602.91 = 1,269.54 : x
  2. Step 2: Convert to fraction form
    3,734.71/5,602.91 = 1,269.54/x
  3. Step 3: Cross multiply
    3,734.71x = 5,602.91 × 1,269.54
  4. Step 4: Simplify right side
    3,734.71x = 7,113,112.01
  5. Step 5: Solve for x
    x = 7,113,112.01/3,734.71
  6. Step 6: Final answer
    x = 1,904.60

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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.