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Finding the Fourth Proportional to 3,362.50, 4,636.74 and 2,035.72

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Solution

The fourth proportional to 3,362.50, 4,636.74 and 2,035.72 is: 2,807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.50 : 4,636.74 = 2,035.72 : x
  2. Step 2: Convert to fraction form
    3,362.50/4,636.74 = 2,035.72/x
  3. Step 3: Cross multiply
    3,362.50x = 4,636.74 × 2,035.72
  4. Step 4: Simplify right side
    3,362.50x = 9,439,104.35
  5. Step 5: Solve for x
    x = 9,439,104.35/3,362.50
  6. Step 6: Final answer
    x = 2,807.17

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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.