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Finding the Fourth Proportional to 3,504.96, 5,258.43 and 1,039.77

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Solution

The fourth proportional to 3,504.96, 5,258.43 and 1,039.77 is: 1,559.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.96 : 5,258.43 = 1,039.77 : x
  2. Step 2: Convert to fraction form
    3,504.96/5,258.43 = 1,039.77/x
  3. Step 3: Cross multiply
    3,504.96x = 5,258.43 × 1,039.77
  4. Step 4: Simplify right side
    3,504.96x = 5,467,557.76
  5. Step 5: Solve for x
    x = 5,467,557.76/3,504.96
  6. Step 6: Final answer
    x = 1,559.95

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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.