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Finding the Fourth Proportional to 3,543.50, 5,323.08 and 2,312.84

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Solution

The fourth proportional to 3,543.50, 5,323.08 and 2,312.84 is: 3,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.50 : 5,323.08 = 2,312.84 : x
  2. Step 2: Convert to fraction form
    3,543.50/5,323.08 = 2,312.84/x
  3. Step 3: Cross multiply
    3,543.50x = 5,323.08 × 2,312.84
  4. Step 4: Simplify right side
    3,543.50x = 12,311,432.35
  5. Step 5: Solve for x
    x = 12,311,432.35/3,543.50
  6. Step 6: Final answer
    x = 3,474.37

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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.