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Finding the Fourth Proportional to 4,993.74, 7,488.22 and 1,705.95

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Solution

The fourth proportional to 4,993.74, 7,488.22 and 1,705.95 is: 2,558.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.74 : 7,488.22 = 1,705.95 : x
  2. Step 2: Convert to fraction form
    4,993.74/7,488.22 = 1,705.95/x
  3. Step 3: Cross multiply
    4,993.74x = 7,488.22 × 1,705.95
  4. Step 4: Simplify right side
    4,993.74x = 12,774,528.91
  5. Step 5: Solve for x
    x = 12,774,528.91/4,993.74
  6. Step 6: Final answer
    x = 2,558.11

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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.