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Finding the Fourth Proportional to 3,466.58, 4,783.87 and 1,974.50

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Solution

The fourth proportional to 3,466.58, 4,783.87 and 1,974.50 is: 2,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.58 : 4,783.87 = 1,974.50 : x
  2. Step 2: Convert to fraction form
    3,466.58/4,783.87 = 1,974.50/x
  3. Step 3: Cross multiply
    3,466.58x = 4,783.87 × 1,974.50
  4. Step 4: Simplify right side
    3,466.58x = 9,445,727.40
  5. Step 5: Solve for x
    x = 9,445,727.40/3,466.58
  6. Step 6: Final answer
    x = 2,724.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.