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Finding the Fourth Proportional to 5,302.80, 7,993.89 and 4,946.00

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Solution

The fourth proportional to 5,302.80, 7,993.89 and 4,946.00 is: 7,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.80 : 7,993.89 = 4,946.00 : x
  2. Step 2: Convert to fraction form
    5,302.80/7,993.89 = 4,946.00/x
  3. Step 3: Cross multiply
    5,302.80x = 7,993.89 × 4,946.00
  4. Step 4: Simplify right side
    5,302.80x = 39,537,739.97
  5. Step 5: Solve for x
    x = 39,537,739.97/5,302.80
  6. Step 6: Final answer
    x = 7,456.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.