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Finding the Fourth Proportional to 3,457.03, 5,186.44 and 992.02

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Solution

The fourth proportional to 3,457.03, 5,186.44 and 992.02 is: 1,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.03 : 5,186.44 = 992.02 : x
  2. Step 2: Convert to fraction form
    3,457.03/5,186.44 = 992.02/x
  3. Step 3: Cross multiply
    3,457.03x = 5,186.44 × 992.02
  4. Step 4: Simplify right side
    3,457.03x = 5,145,052.21
  5. Step 5: Solve for x
    x = 5,145,052.21/3,457.03
  6. Step 6: Final answer
    x = 1,488.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.