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Finding the Fourth Proportional to 3,442.94, 5,164.29 and 977.75

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Solution

The fourth proportional to 3,442.94, 5,164.29 and 977.75 is: 1,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.94 : 5,164.29 = 977.75 : x
  2. Step 2: Convert to fraction form
    3,442.94/5,164.29 = 977.75/x
  3. Step 3: Cross multiply
    3,442.94x = 5,164.29 × 977.75
  4. Step 4: Simplify right side
    3,442.94x = 5,049,381.23
  5. Step 5: Solve for x
    x = 5,049,381.23/3,442.94
  6. Step 6: Final answer
    x = 1,466.59

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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.