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Finding the Fourth Proportional to 4,993.54, 6,892.05 and 2,897.98

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Solution

The fourth proportional to 4,993.54, 6,892.05 and 2,897.98 is: 3,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.54 : 6,892.05 = 2,897.98 : x
  2. Step 2: Convert to fraction form
    4,993.54/6,892.05 = 2,897.98/x
  3. Step 3: Cross multiply
    4,993.54x = 6,892.05 × 2,897.98
  4. Step 4: Simplify right side
    4,993.54x = 19,973,023.06
  5. Step 5: Solve for x
    x = 19,973,023.06/4,993.54
  6. Step 6: Final answer
    x = 3,999.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.