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Finding the Fourth Proportional to 3,804.94, 5,706.32 and 1,464.78

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Solution

The fourth proportional to 3,804.94, 5,706.32 and 1,464.78 is: 2,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.94 : 5,706.32 = 1,464.78 : x
  2. Step 2: Convert to fraction form
    3,804.94/5,706.32 = 1,464.78/x
  3. Step 3: Cross multiply
    3,804.94x = 5,706.32 × 1,464.78
  4. Step 4: Simplify right side
    3,804.94x = 8,358,503.41
  5. Step 5: Solve for x
    x = 8,358,503.41/3,804.94
  6. Step 6: Final answer
    x = 2,196.75

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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.