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Finding the Fourth Proportional to 3,830.08, 5,746 and 1,094.08

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Solution

The fourth proportional to 3,830.08, 5,746 and 1,094.08 is: 1,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.08 : 5,746 = 1,094.08 : x
  2. Step 2: Convert to fraction form
    3,830.08/5,746 = 1,094.08/x
  3. Step 3: Cross multiply
    3,830.08x = 5,746 × 1,094.08
  4. Step 4: Simplify right side
    3,830.08x = 6,286,583.68
  5. Step 5: Solve for x
    x = 6,286,583.68/3,830.08
  6. Step 6: Final answer
    x = 1,641.37

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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.