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Finding the Fourth Proportional to 4,611.02, 6,916.31 and 1,491.17

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Solution

The fourth proportional to 4,611.02, 6,916.31 and 1,491.17 is: 2,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.02 : 6,916.31 = 1,491.17 : x
  2. Step 2: Convert to fraction form
    4,611.02/6,916.31 = 1,491.17/x
  3. Step 3: Cross multiply
    4,611.02x = 6,916.31 × 1,491.17
  4. Step 4: Simplify right side
    4,611.02x = 10,313,386.53
  5. Step 5: Solve for x
    x = 10,313,386.53/4,611.02
  6. Step 6: Final answer
    x = 2,236.68

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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.