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Finding the Fourth Proportional to 3,442.74, 5,164.10 and 977.56

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Solution

The fourth proportional to 3,442.74, 5,164.10 and 977.56 is: 1,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.74 : 5,164.10 = 977.56 : x
  2. Step 2: Convert to fraction form
    3,442.74/5,164.10 = 977.56/x
  3. Step 3: Cross multiply
    3,442.74x = 5,164.10 × 977.56
  4. Step 4: Simplify right side
    3,442.74x = 5,048,217.60
  5. Step 5: Solve for x
    x = 5,048,217.60/3,442.74
  6. Step 6: Final answer
    x = 1,466.34

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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.