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Finding the Fourth Proportional to 3,677.02, 5,072.30 and 2,330.19

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Solution

The fourth proportional to 3,677.02, 5,072.30 and 2,330.19 is: 3,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.02 : 5,072.30 = 2,330.19 : x
  2. Step 2: Convert to fraction form
    3,677.02/5,072.30 = 2,330.19/x
  3. Step 3: Cross multiply
    3,677.02x = 5,072.30 × 2,330.19
  4. Step 4: Simplify right side
    3,677.02x = 11,819,422.74
  5. Step 5: Solve for x
    x = 11,819,422.74/3,677.02
  6. Step 6: Final answer
    x = 3,214.40

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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.