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Finding the Fourth Proportional to 3,677.28, 5,503.16 and 3,011.46

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Solution

The fourth proportional to 3,677.28, 5,503.16 and 3,011.46 is: 4,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.28 : 5,503.16 = 3,011.46 : x
  2. Step 2: Convert to fraction form
    3,677.28/5,503.16 = 3,011.46/x
  3. Step 3: Cross multiply
    3,677.28x = 5,503.16 × 3,011.46
  4. Step 4: Simplify right side
    3,677.28x = 16,572,546.21
  5. Step 5: Solve for x
    x = 16,572,546.21/3,677.28
  6. Step 6: Final answer
    x = 4,506.74

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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.