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Finding the Fourth Proportional to 4,611.14, 6,916.74 and 1,148.39

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Solution

The fourth proportional to 4,611.14, 6,916.74 and 1,148.39 is: 1,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.14 : 6,916.74 = 1,148.39 : x
  2. Step 2: Convert to fraction form
    4,611.14/6,916.74 = 1,148.39/x
  3. Step 3: Cross multiply
    4,611.14x = 6,916.74 × 1,148.39
  4. Step 4: Simplify right side
    4,611.14x = 7,943,132.34
  5. Step 5: Solve for x
    x = 7,943,132.34/4,611.14
  6. Step 6: Final answer
    x = 1,722.60

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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.