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Finding the Fourth Proportional to 3,501.19, 5,252.67 and 1,036

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Solution

The fourth proportional to 3,501.19, 5,252.67 and 1,036 is: 1,554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.19 : 5,252.67 = 1,036 : x
  2. Step 2: Convert to fraction form
    3,501.19/5,252.67 = 1,036/x
  3. Step 3: Cross multiply
    3,501.19x = 5,252.67 × 1,036
  4. Step 4: Simplify right side
    3,501.19x = 5,441,766.12
  5. Step 5: Solve for x
    x = 5,441,766.12/3,501.19
  6. Step 6: Final answer
    x = 1,554.26

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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.