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Finding the Fourth Proportional to 4,578.12, 6,865.56 and 1,804.68

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Solution

The fourth proportional to 4,578.12, 6,865.56 and 1,804.68 is: 2,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.12 : 6,865.56 = 1,804.68 : x
  2. Step 2: Convert to fraction form
    4,578.12/6,865.56 = 1,804.68/x
  3. Step 3: Cross multiply
    4,578.12x = 6,865.56 × 1,804.68
  4. Step 4: Simplify right side
    4,578.12x = 12,390,138.82
  5. Step 5: Solve for x
    x = 12,390,138.82/4,578.12
  6. Step 6: Final answer
    x = 2,706.38

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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.