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Finding the Fourth Proportional to 5,428.16, 7,494.23 and 4,166.81

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Solution

The fourth proportional to 5,428.16, 7,494.23 and 4,166.81 is: 5,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.16 : 7,494.23 = 4,166.81 : x
  2. Step 2: Convert to fraction form
    5,428.16/7,494.23 = 4,166.81/x
  3. Step 3: Cross multiply
    5,428.16x = 7,494.23 × 4,166.81
  4. Step 4: Simplify right side
    5,428.16x = 31,227,005.45
  5. Step 5: Solve for x
    x = 31,227,005.45/5,428.16
  6. Step 6: Final answer
    x = 5,752.78

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