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Finding the Fourth Proportional to 5,734.56, 8,602.04 and 2,037.08

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Solution

The fourth proportional to 5,734.56, 8,602.04 and 2,037.08 is: 3,055.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.56 : 8,602.04 = 2,037.08 : x
  2. Step 2: Convert to fraction form
    5,734.56/8,602.04 = 2,037.08/x
  3. Step 3: Cross multiply
    5,734.56x = 8,602.04 × 2,037.08
  4. Step 4: Simplify right side
    5,734.56x = 17,522,990.45
  5. Step 5: Solve for x
    x = 17,522,990.45/5,734.56
  6. Step 6: Final answer
    x = 3,055.68

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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.