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Finding the Fourth Proportional to 4,644.69, 6,967.25 and 1,833.53

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Solution

The fourth proportional to 4,644.69, 6,967.25 and 1,833.53 is: 2,750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.69 : 6,967.25 = 1,833.53 : x
  2. Step 2: Convert to fraction form
    4,644.69/6,967.25 = 1,833.53/x
  3. Step 3: Cross multiply
    4,644.69x = 6,967.25 × 1,833.53
  4. Step 4: Simplify right side
    4,644.69x = 12,774,617.89
  5. Step 5: Solve for x
    x = 12,774,617.89/4,644.69
  6. Step 6: Final answer
    x = 2,750.37

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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.