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Finding the Fourth Proportional to 3,505.04, 5,257.61 and 1,006.22

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Solution

The fourth proportional to 3,505.04, 5,257.61 and 1,006.22 is: 1,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.04 : 5,257.61 = 1,006.22 : x
  2. Step 2: Convert to fraction form
    3,505.04/5,257.61 = 1,006.22/x
  3. Step 3: Cross multiply
    3,505.04x = 5,257.61 × 1,006.22
  4. Step 4: Simplify right side
    3,505.04x = 5,290,324.22
  5. Step 5: Solve for x
    x = 5,290,324.22/3,505.04
  6. Step 6: Final answer
    x = 1,509.35

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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.