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Finding the Fourth Proportional to 3,544, 5,316 and 946.88

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Solution

The fourth proportional to 3,544, 5,316 and 946.88 is: 1,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544 : 5,316 = 946.88 : x
  2. Step 2: Convert to fraction form
    3,544/5,316 = 946.88/x
  3. Step 3: Cross multiply
    3,544x = 5,316 × 946.88
  4. Step 4: Simplify right side
    3,544x = 5,033,614.08
  5. Step 5: Solve for x
    x = 5,033,614.08/3,544
  6. Step 6: Final answer
    x = 1,420.32

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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.