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Finding the Fourth Proportional to 5,697.90, 8,543.16 and 2,409.30

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Solution

The fourth proportional to 5,697.90, 8,543.16 and 2,409.30 is: 3,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.90 : 8,543.16 = 2,409.30 : x
  2. Step 2: Convert to fraction form
    5,697.90/8,543.16 = 2,409.30/x
  3. Step 3: Cross multiply
    5,697.90x = 8,543.16 × 2,409.30
  4. Step 4: Simplify right side
    5,697.90x = 20,583,035.39
  5. Step 5: Solve for x
    x = 20,583,035.39/5,697.90
  6. Step 6: Final answer
    x = 3,612.39

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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.