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Finding the Fourth Proportional to 5,575.68, 7,690.41 and 4,735.06

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Solution

The fourth proportional to 5,575.68, 7,690.41 and 4,735.06 is: 6,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575.68 : 7,690.41 = 4,735.06 : x
  2. Step 2: Convert to fraction form
    5,575.68/7,690.41 = 4,735.06/x
  3. Step 3: Cross multiply
    5,575.68x = 7,690.41 × 4,735.06
  4. Step 4: Simplify right side
    5,575.68x = 36,414,533.55
  5. Step 5: Solve for x
    x = 36,414,533.55/5,575.68
  6. Step 6: Final answer
    x = 6,530.96

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