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Finding the Fourth Proportional to 4,686.71, 6,467.69 and 2,562.25

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Solution

The fourth proportional to 4,686.71, 6,467.69 and 2,562.25 is: 3,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.71 : 6,467.69 = 2,562.25 : x
  2. Step 2: Convert to fraction form
    4,686.71/6,467.69 = 2,562.25/x
  3. Step 3: Cross multiply
    4,686.71x = 6,467.69 × 2,562.25
  4. Step 4: Simplify right side
    4,686.71x = 16,571,828.94
  5. Step 5: Solve for x
    x = 16,571,828.94/4,686.71
  6. Step 6: Final answer
    x = 3,535.92

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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.