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Finding the Fourth Proportional to 4,361.77, 6,543.06 and 2,280.34

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Solution

The fourth proportional to 4,361.77, 6,543.06 and 2,280.34 is: 3,420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.77 : 6,543.06 = 2,280.34 : x
  2. Step 2: Convert to fraction form
    4,361.77/6,543.06 = 2,280.34/x
  3. Step 3: Cross multiply
    4,361.77x = 6,543.06 × 2,280.34
  4. Step 4: Simplify right side
    4,361.77x = 14,920,401.44
  5. Step 5: Solve for x
    x = 14,920,401.44/4,361.77
  6. Step 6: Final answer
    x = 3,420.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.