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Finding the Fourth Proportional to 3,674.46, 5,511.69 and 1,077.40

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Solution

The fourth proportional to 3,674.46, 5,511.69 and 1,077.40 is: 1,616.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.46 : 5,511.69 = 1,077.40 : x
  2. Step 2: Convert to fraction form
    3,674.46/5,511.69 = 1,077.40/x
  3. Step 3: Cross multiply
    3,674.46x = 5,511.69 × 1,077.40
  4. Step 4: Simplify right side
    3,674.46x = 5,938,294.81
  5. Step 5: Solve for x
    x = 5,938,294.81/3,674.46
  6. Step 6: Final answer
    x = 1,616.10

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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.