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Finding the Fourth Proportional to 3,643.75, 5,466.55 and 1,046.69

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Solution

The fourth proportional to 3,643.75, 5,466.55 and 1,046.69 is: 1,570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.75 : 5,466.55 = 1,046.69 : x
  2. Step 2: Convert to fraction form
    3,643.75/5,466.55 = 1,046.69/x
  3. Step 3: Cross multiply
    3,643.75x = 5,466.55 × 1,046.69
  4. Step 4: Simplify right side
    3,643.75x = 5,721,783.22
  5. Step 5: Solve for x
    x = 5,721,783.22/3,643.75
  6. Step 6: Final answer
    x = 1,570.30

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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.