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Finding the Fourth Proportional to 3,505.35, 5,257.29 and 1,039.59

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Solution

The fourth proportional to 3,505.35, 5,257.29 and 1,039.59 is: 1,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.35 : 5,257.29 = 1,039.59 : x
  2. Step 2: Convert to fraction form
    3,505.35/5,257.29 = 1,039.59/x
  3. Step 3: Cross multiply
    3,505.35x = 5,257.29 × 1,039.59
  4. Step 4: Simplify right side
    3,505.35x = 5,465,426.11
  5. Step 5: Solve for x
    x = 5,465,426.11/3,505.35
  6. Step 6: Final answer
    x = 1,559.17

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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.