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Finding the Fourth Proportional to 3,677.61, 5,070.47 and 3,072.20

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Solution

The fourth proportional to 3,677.61, 5,070.47 and 3,072.20 is: 4,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.61 : 5,070.47 = 3,072.20 : x
  2. Step 2: Convert to fraction form
    3,677.61/5,070.47 = 3,072.20/x
  3. Step 3: Cross multiply
    3,677.61x = 5,070.47 × 3,072.20
  4. Step 4: Simplify right side
    3,677.61x = 15,577,497.93
  5. Step 5: Solve for x
    x = 15,577,497.93/3,677.61
  6. Step 6: Final answer
    x = 4,235.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.