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Finding the Fourth Proportional to 3,136.84, 4,328.67 and 1,739.50

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Solution

The fourth proportional to 3,136.84, 4,328.67 and 1,739.50 is: 2,400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.84 : 4,328.67 = 1,739.50 : x
  2. Step 2: Convert to fraction form
    3,136.84/4,328.67 = 1,739.50/x
  3. Step 3: Cross multiply
    3,136.84x = 4,328.67 × 1,739.50
  4. Step 4: Simplify right side
    3,136.84x = 7,529,721.47
  5. Step 5: Solve for x
    x = 7,529,721.47/3,136.84
  6. Step 6: Final answer
    x = 2,400.42

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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.