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Finding the Fourth Proportional to 4,611.84, 6,920.73 and 1,689.90

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Solution

The fourth proportional to 4,611.84, 6,920.73 and 1,689.90 is: 2,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.84 : 6,920.73 = 1,689.90 : x
  2. Step 2: Convert to fraction form
    4,611.84/6,920.73 = 1,689.90/x
  3. Step 3: Cross multiply
    4,611.84x = 6,920.73 × 1,689.90
  4. Step 4: Simplify right side
    4,611.84x = 11,695,341.63
  5. Step 5: Solve for x
    x = 11,695,341.63/4,611.84
  6. Step 6: Final answer
    x = 2,535.94

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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.