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Finding the Fourth Proportional to 5,096.49, 7,032.62 and 2,971.45

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Solution

The fourth proportional to 5,096.49, 7,032.62 and 2,971.45 is: 4,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.49 : 7,032.62 = 2,971.45 : x
  2. Step 2: Convert to fraction form
    5,096.49/7,032.62 = 2,971.45/x
  3. Step 3: Cross multiply
    5,096.49x = 7,032.62 × 2,971.45
  4. Step 4: Simplify right side
    5,096.49x = 20,897,094.92
  5. Step 5: Solve for x
    x = 20,897,094.92/5,096.49
  6. Step 6: Final answer
    x = 4,100.29

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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.