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Finding the Fourth Proportional to 3,457.46, 5,186.34 and 992.03

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Solution

The fourth proportional to 3,457.46, 5,186.34 and 992.03 is: 1,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.46 : 5,186.34 = 992.03 : x
  2. Step 2: Convert to fraction form
    3,457.46/5,186.34 = 992.03/x
  3. Step 3: Cross multiply
    3,457.46x = 5,186.34 × 992.03
  4. Step 4: Simplify right side
    3,457.46x = 5,144,978.94
  5. Step 5: Solve for x
    x = 5,144,978.94/3,457.46
  6. Step 6: Final answer
    x = 1,488.08

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