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Finding the Fourth Proportional to 3,544.14, 5,316.06 and 947

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Solution

The fourth proportional to 3,544.14, 5,316.06 and 947 is: 1,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.14 : 5,316.06 = 947 : x
  2. Step 2: Convert to fraction form
    3,544.14/5,316.06 = 947/x
  3. Step 3: Cross multiply
    3,544.14x = 5,316.06 × 947
  4. Step 4: Simplify right side
    3,544.14x = 5,034,308.82
  5. Step 5: Solve for x
    x = 5,034,308.82/3,544.14
  6. Step 6: Final answer
    x = 1,420.46

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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.