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Finding the Fourth Proportional to 5,069.90, 7,605.25 and 1,783.73

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Solution

The fourth proportional to 5,069.90, 7,605.25 and 1,783.73 is: 2,675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.90 : 7,605.25 = 1,783.73 : x
  2. Step 2: Convert to fraction form
    5,069.90/7,605.25 = 1,783.73/x
  3. Step 3: Cross multiply
    5,069.90x = 7,605.25 × 1,783.73
  4. Step 4: Simplify right side
    5,069.90x = 13,565,712.58
  5. Step 5: Solve for x
    x = 13,565,712.58/5,069.90
  6. Step 6: Final answer
    x = 2,675.74

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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.