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Finding the Fourth Proportional to 5,675.80, 7,840.06 and 4,734.64

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Solution

The fourth proportional to 5,675.80, 7,840.06 and 4,734.64 is: 6,540.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.80 : 7,840.06 = 4,734.64 : x
  2. Step 2: Convert to fraction form
    5,675.80/7,840.06 = 4,734.64/x
  3. Step 3: Cross multiply
    5,675.80x = 7,840.06 × 4,734.64
  4. Step 4: Simplify right side
    5,675.80x = 37,119,861.68
  5. Step 5: Solve for x
    x = 37,119,861.68/5,675.80
  6. Step 6: Final answer
    x = 6,540.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.