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Finding the Fourth Proportional to 4,136.78, 5,707.86 and 3,017.99

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Solution

The fourth proportional to 4,136.78, 5,707.86 and 3,017.99 is: 4,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.78 : 5,707.86 = 3,017.99 : x
  2. Step 2: Convert to fraction form
    4,136.78/5,707.86 = 3,017.99/x
  3. Step 3: Cross multiply
    4,136.78x = 5,707.86 × 3,017.99
  4. Step 4: Simplify right side
    4,136.78x = 17,226,235.86
  5. Step 5: Solve for x
    x = 17,226,235.86/4,136.78
  6. Step 6: Final answer
    x = 4,164.17

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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.