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Finding the Fourth Proportional to 3,734.70, 5,602.50 and 1,544.96

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Solution

The fourth proportional to 3,734.70, 5,602.50 and 1,544.96 is: 2,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.70 : 5,602.50 = 1,544.96 : x
  2. Step 2: Convert to fraction form
    3,734.70/5,602.50 = 1,544.96/x
  3. Step 3: Cross multiply
    3,734.70x = 5,602.50 × 1,544.96
  4. Step 4: Simplify right side
    3,734.70x = 8,655,638.40
  5. Step 5: Solve for x
    x = 8,655,638.40/3,734.70
  6. Step 6: Final answer
    x = 2,317.63

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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.