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Finding the Fourth Proportional to 4,693.60, 7,040.40 and 4,231.90

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Solution

The fourth proportional to 4,693.60, 7,040.40 and 4,231.90 is: 6,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.60 : 7,040.40 = 4,231.90 : x
  2. Step 2: Convert to fraction form
    4,693.60/7,040.40 = 4,231.90/x
  3. Step 3: Cross multiply
    4,693.60x = 7,040.40 × 4,231.90
  4. Step 4: Simplify right side
    4,693.60x = 29,794,268.76
  5. Step 5: Solve for x
    x = 29,794,268.76/4,693.60
  6. Step 6: Final answer
    x = 6,347.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.