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Finding the Fourth Proportional to 4,909.77, 7,365.74 and 1,447.29

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Solution

The fourth proportional to 4,909.77, 7,365.74 and 1,447.29 is: 2,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.77 : 7,365.74 = 1,447.29 : x
  2. Step 2: Convert to fraction form
    4,909.77/7,365.74 = 1,447.29/x
  3. Step 3: Cross multiply
    4,909.77x = 7,365.74 × 1,447.29
  4. Step 4: Simplify right side
    4,909.77x = 10,660,354.61
  5. Step 5: Solve for x
    x = 10,660,354.61/4,909.77
  6. Step 6: Final answer
    x = 2,171.25

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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.