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Finding the Fourth Proportional to 4,611.84, 6,918.66 and 1,492.62

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Solution

The fourth proportional to 4,611.84, 6,918.66 and 1,492.62 is: 2,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.84 : 6,918.66 = 1,492.62 : x
  2. Step 2: Convert to fraction form
    4,611.84/6,918.66 = 1,492.62/x
  3. Step 3: Cross multiply
    4,611.84x = 6,918.66 × 1,492.62
  4. Step 4: Simplify right side
    4,611.84x = 10,326,930.29
  5. Step 5: Solve for x
    x = 10,326,930.29/4,611.84
  6. Step 6: Final answer
    x = 2,239.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.