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Finding the Fourth Proportional to 3,065.72, 4,600.56 and 1,216.52

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Solution

The fourth proportional to 3,065.72, 4,600.56 and 1,216.52 is: 1,825.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.72 : 4,600.56 = 1,216.52 : x
  2. Step 2: Convert to fraction form
    3,065.72/4,600.56 = 1,216.52/x
  3. Step 3: Cross multiply
    3,065.72x = 4,600.56 × 1,216.52
  4. Step 4: Simplify right side
    3,065.72x = 5,596,673.25
  5. Step 5: Solve for x
    x = 5,596,673.25/3,065.72
  6. Step 6: Final answer
    x = 1,825.57

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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.