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Finding the Fourth Proportional to 3,510.72, 4,844.60 and 2,096.01

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Solution

The fourth proportional to 3,510.72, 4,844.60 and 2,096.01 is: 2,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.72 : 4,844.60 = 2,096.01 : x
  2. Step 2: Convert to fraction form
    3,510.72/4,844.60 = 2,096.01/x
  3. Step 3: Cross multiply
    3,510.72x = 4,844.60 × 2,096.01
  4. Step 4: Simplify right side
    3,510.72x = 10,154,295.34
  5. Step 5: Solve for x
    x = 10,154,295.34/3,510.72
  6. Step 6: Final answer
    x = 2,892.37

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Why These Related Problems?

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