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Finding the Fourth Proportional to 5,094.02, 7,606.36 and 4,496.06

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Solution

The fourth proportional to 5,094.02, 7,606.36 and 4,496.06 is: 6,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.02 : 7,606.36 = 4,496.06 : x
  2. Step 2: Convert to fraction form
    5,094.02/7,606.36 = 4,496.06/x
  3. Step 3: Cross multiply
    5,094.02x = 7,606.36 × 4,496.06
  4. Step 4: Simplify right side
    5,094.02x = 34,198,650.94
  5. Step 5: Solve for x
    x = 34,198,650.94/5,094.02
  6. Step 6: Final answer
    x = 6,713.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.