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Finding the Fourth Proportional to 3,734.76, 5,602.46 and 1,137.71

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Solution

The fourth proportional to 3,734.76, 5,602.46 and 1,137.71 is: 1,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.76 : 5,602.46 = 1,137.71 : x
  2. Step 2: Convert to fraction form
    3,734.76/5,602.46 = 1,137.71/x
  3. Step 3: Cross multiply
    3,734.76x = 5,602.46 × 1,137.71
  4. Step 4: Simplify right side
    3,734.76x = 6,373,941.07
  5. Step 5: Solve for x
    x = 6,373,941.07/3,734.76
  6. Step 6: Final answer
    x = 1,706.65

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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.