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Finding the Fourth Proportional to 4,907.48, 6,767.68 and 3,136

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Solution

The fourth proportional to 4,907.48, 6,767.68 and 3,136 is: 4,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.48 : 6,767.68 = 3,136 : x
  2. Step 2: Convert to fraction form
    4,907.48/6,767.68 = 3,136/x
  3. Step 3: Cross multiply
    4,907.48x = 6,767.68 × 3,136
  4. Step 4: Simplify right side
    4,907.48x = 21,223,444.48
  5. Step 5: Solve for x
    x = 21,223,444.48/4,907.48
  6. Step 6: Final answer
    x = 4,324.71

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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.