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Finding the Fourth Proportional to 5,608.56, 8,416.86 and 3,763.20

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Solution

The fourth proportional to 5,608.56, 8,416.86 and 3,763.20 is: 5,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.56 : 8,416.86 = 3,763.20 : x
  2. Step 2: Convert to fraction form
    5,608.56/8,416.86 = 3,763.20/x
  3. Step 3: Cross multiply
    5,608.56x = 8,416.86 × 3,763.20
  4. Step 4: Simplify right side
    5,608.56x = 31,674,327.55
  5. Step 5: Solve for x
    x = 31,674,327.55/5,608.56
  6. Step 6: Final answer
    x = 5,647.50

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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.