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Finding the Fourth Proportional to 4,705.70, 6,493.57 and 2,689.32

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Solution

The fourth proportional to 4,705.70, 6,493.57 and 2,689.32 is: 3,711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.70 : 6,493.57 = 2,689.32 : x
  2. Step 2: Convert to fraction form
    4,705.70/6,493.57 = 2,689.32/x
  3. Step 3: Cross multiply
    4,705.70x = 6,493.57 × 2,689.32
  4. Step 4: Simplify right side
    4,705.70x = 17,463,268.77
  5. Step 5: Solve for x
    x = 17,463,268.77/4,705.70
  6. Step 6: Final answer
    x = 3,711.09

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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.