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Finding the Fourth Proportional to 4,464.71, 6,696.15 and 1,690.43

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Solution

The fourth proportional to 4,464.71, 6,696.15 and 1,690.43 is: 2,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.71 : 6,696.15 = 1,690.43 : x
  2. Step 2: Convert to fraction form
    4,464.71/6,696.15 = 1,690.43/x
  3. Step 3: Cross multiply
    4,464.71x = 6,696.15 × 1,690.43
  4. Step 4: Simplify right side
    4,464.71x = 11,319,339.36
  5. Step 5: Solve for x
    x = 11,319,339.36/4,464.71
  6. Step 6: Final answer
    x = 2,535.29

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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.