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Finding the Fourth Proportional to 4,585.71, 6,879.21 and 1,464.69

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Solution

The fourth proportional to 4,585.71, 6,879.21 and 1,464.69 is: 2,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.71 : 6,879.21 = 1,464.69 : x
  2. Step 2: Convert to fraction form
    4,585.71/6,879.21 = 1,464.69/x
  3. Step 3: Cross multiply
    4,585.71x = 6,879.21 × 1,464.69
  4. Step 4: Simplify right side
    4,585.71x = 10,075,910.09
  5. Step 5: Solve for x
    x = 10,075,910.09/4,585.71
  6. Step 6: Final answer
    x = 2,197.24

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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.