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Finding the Fourth Proportional to 4,713.94, 7,070.91 and 1,203.82

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Solution

The fourth proportional to 4,713.94, 7,070.91 and 1,203.82 is: 1,805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.94 : 7,070.91 = 1,203.82 : x
  2. Step 2: Convert to fraction form
    4,713.94/7,070.91 = 1,203.82/x
  3. Step 3: Cross multiply
    4,713.94x = 7,070.91 × 1,203.82
  4. Step 4: Simplify right side
    4,713.94x = 8,512,127.23
  5. Step 5: Solve for x
    x = 8,512,127.23/4,713.94
  6. Step 6: Final answer
    x = 1,805.73

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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.