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Finding the Fourth Proportional to 4,564.83, 6,297.05 and 3,146.05

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Solution

The fourth proportional to 4,564.83, 6,297.05 and 3,146.05 is: 4,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.83 : 6,297.05 = 3,146.05 : x
  2. Step 2: Convert to fraction form
    4,564.83/6,297.05 = 3,146.05/x
  3. Step 3: Cross multiply
    4,564.83x = 6,297.05 × 3,146.05
  4. Step 4: Simplify right side
    4,564.83x = 19,810,786.94
  5. Step 5: Solve for x
    x = 19,810,786.94/4,564.83
  6. Step 6: Final answer
    x = 4,339.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.