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Finding the Fourth Proportional to 3,333.56, 4,999.93 and 993.47

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Solution

The fourth proportional to 3,333.56, 4,999.93 and 993.47 is: 1,490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.56 : 4,999.93 = 993.47 : x
  2. Step 2: Convert to fraction form
    3,333.56/4,999.93 = 993.47/x
  3. Step 3: Cross multiply
    3,333.56x = 4,999.93 × 993.47
  4. Step 4: Simplify right side
    3,333.56x = 4,967,252.97
  5. Step 5: Solve for x
    x = 4,967,252.97/3,333.56
  6. Step 6: Final answer
    x = 1,490.08

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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.