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Finding the Fourth Proportional to 3,697.96, 5,543.34 and 3,006.04

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Solution

The fourth proportional to 3,697.96, 5,543.34 and 3,006.04 is: 4,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.96 : 5,543.34 = 3,006.04 : x
  2. Step 2: Convert to fraction form
    3,697.96/5,543.34 = 3,006.04/x
  3. Step 3: Cross multiply
    3,697.96x = 5,543.34 × 3,006.04
  4. Step 4: Simplify right side
    3,697.96x = 16,663,501.77
  5. Step 5: Solve for x
    x = 16,663,501.77/3,697.96
  6. Step 6: Final answer
    x = 4,506.13

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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.