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Finding the Fourth Proportional to 3,812.32, 5,285.35 and 3,677.00

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Solution

The fourth proportional to 3,812.32, 5,285.35 and 3,677.00 is: 5,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.32 : 5,285.35 = 3,677.00 : x
  2. Step 2: Convert to fraction form
    3,812.32/5,285.35 = 3,677.00/x
  3. Step 3: Cross multiply
    3,812.32x = 5,285.35 × 3,677.00
  4. Step 4: Simplify right side
    3,812.32x = 19,434,219.17
  5. Step 5: Solve for x
    x = 19,434,219.17/3,812.32
  6. Step 6: Final answer
    x = 5,097.74

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.