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Finding the Fourth Proportional to 3,644.12, 5,466.18 and 1,047.26

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Solution

The fourth proportional to 3,644.12, 5,466.18 and 1,047.26 is: 1,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.12 : 5,466.18 = 1,047.26 : x
  2. Step 2: Convert to fraction form
    3,644.12/5,466.18 = 1,047.26/x
  3. Step 3: Cross multiply
    3,644.12x = 5,466.18 × 1,047.26
  4. Step 4: Simplify right side
    3,644.12x = 5,724,511.67
  5. Step 5: Solve for x
    x = 5,724,511.67/3,644.12
  6. Step 6: Final answer
    x = 1,570.89

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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.