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Finding the Fourth Proportional to 5,278, 7,916.94 and 4,957.24

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Solution

The fourth proportional to 5,278, 7,916.94 and 4,957.24 is: 7,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278 : 7,916.94 = 4,957.24 : x
  2. Step 2: Convert to fraction form
    5,278/7,916.94 = 4,957.24/x
  3. Step 3: Cross multiply
    5,278x = 7,916.94 × 4,957.24
  4. Step 4: Simplify right side
    5,278x = 39,246,171.65
  5. Step 5: Solve for x
    x = 39,246,171.65/5,278
  6. Step 6: Final answer
    x = 7,435.80

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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.