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Finding the Fourth Proportional to 5,457.16, 8,186.02 and 1,562.14

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Solution

The fourth proportional to 5,457.16, 8,186.02 and 1,562.14 is: 2,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.16 : 8,186.02 = 1,562.14 : x
  2. Step 2: Convert to fraction form
    5,457.16/8,186.02 = 1,562.14/x
  3. Step 3: Cross multiply
    5,457.16x = 8,186.02 × 1,562.14
  4. Step 4: Simplify right side
    5,457.16x = 12,787,709.28
  5. Step 5: Solve for x
    x = 12,787,709.28/5,457.16
  6. Step 6: Final answer
    x = 2,343.29

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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.