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Finding the Fourth Proportional to 5,382.66, 7,428.78 and 3,024.93

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Solution

The fourth proportional to 5,382.66, 7,428.78 and 3,024.93 is: 4,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.66 : 7,428.78 = 3,024.93 : x
  2. Step 2: Convert to fraction form
    5,382.66/7,428.78 = 3,024.93/x
  3. Step 3: Cross multiply
    5,382.66x = 7,428.78 × 3,024.93
  4. Step 4: Simplify right side
    5,382.66x = 22,471,539.49
  5. Step 5: Solve for x
    x = 22,471,539.49/5,382.66
  6. Step 6: Final answer
    x = 4,174.80

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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.