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Finding the Fourth Proportional to 3,297.95, 4,947.68 and 957.99

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Solution

The fourth proportional to 3,297.95, 4,947.68 and 957.99 is: 1,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.95 : 4,947.68 = 957.99 : x
  2. Step 2: Convert to fraction form
    3,297.95/4,947.68 = 957.99/x
  3. Step 3: Cross multiply
    3,297.95x = 4,947.68 × 957.99
  4. Step 4: Simplify right side
    3,297.95x = 4,739,848.91
  5. Step 5: Solve for x
    x = 4,739,848.91/3,297.95
  6. Step 6: Final answer
    x = 1,437.21

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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.