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Finding the Fourth Proportional to 4,694.94, 7,041.30 and 1,575.06

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Solution

The fourth proportional to 4,694.94, 7,041.30 and 1,575.06 is: 2,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.94 : 7,041.30 = 1,575.06 : x
  2. Step 2: Convert to fraction form
    4,694.94/7,041.30 = 1,575.06/x
  3. Step 3: Cross multiply
    4,694.94x = 7,041.30 × 1,575.06
  4. Step 4: Simplify right side
    4,694.94x = 11,090,469.98
  5. Step 5: Solve for x
    x = 11,090,469.98/4,694.94
  6. Step 6: Final answer
    x = 2,362.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.