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Finding the Fourth Proportional to 3,734.67, 5,602.08 and 1,269.51

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Solution

The fourth proportional to 3,734.67, 5,602.08 and 1,269.51 is: 1,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.67 : 5,602.08 = 1,269.51 : x
  2. Step 2: Convert to fraction form
    3,734.67/5,602.08 = 1,269.51/x
  3. Step 3: Cross multiply
    3,734.67x = 5,602.08 × 1,269.51
  4. Step 4: Simplify right side
    3,734.67x = 7,111,896.58
  5. Step 5: Solve for x
    x = 7,111,896.58/3,734.67
  6. Step 6: Final answer
    x = 1,904.29

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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.