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Finding the Fourth Proportional to 4,725.64, 7,083.08 and 3,677.90

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Solution

The fourth proportional to 4,725.64, 7,083.08 and 3,677.90 is: 5,512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.64 : 7,083.08 = 3,677.90 : x
  2. Step 2: Convert to fraction form
    4,725.64/7,083.08 = 3,677.90/x
  3. Step 3: Cross multiply
    4,725.64x = 7,083.08 × 3,677.90
  4. Step 4: Simplify right side
    4,725.64x = 26,050,859.93
  5. Step 5: Solve for x
    x = 26,050,859.93/4,725.64
  6. Step 6: Final answer
    x = 5,512.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.