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Finding the Fourth Proportional to 4,703.96, 7,054.92 and 1,927.95

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Solution

The fourth proportional to 4,703.96, 7,054.92 and 1,927.95 is: 2,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.96 : 7,054.92 = 1,927.95 : x
  2. Step 2: Convert to fraction form
    4,703.96/7,054.92 = 1,927.95/x
  3. Step 3: Cross multiply
    4,703.96x = 7,054.92 × 1,927.95
  4. Step 4: Simplify right side
    4,703.96x = 13,601,533.01
  5. Step 5: Solve for x
    x = 13,601,533.01/4,703.96
  6. Step 6: Final answer
    x = 2,891.51

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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.