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Finding the Fourth Proportional to 5,298.96, 7,312.24 and 2,940.96

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Solution

The fourth proportional to 5,298.96, 7,312.24 and 2,940.96 is: 4,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.96 : 7,312.24 = 2,940.96 : x
  2. Step 2: Convert to fraction form
    5,298.96/7,312.24 = 2,940.96/x
  3. Step 3: Cross multiply
    5,298.96x = 7,312.24 × 2,940.96
  4. Step 4: Simplify right side
    5,298.96x = 21,505,005.35
  5. Step 5: Solve for x
    x = 21,505,005.35/5,298.96
  6. Step 6: Final answer
    x = 4,058.34

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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.