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Finding the Fourth Proportional to 3,460.86, 4,778.46 and 2,136.36

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Solution

The fourth proportional to 3,460.86, 4,778.46 and 2,136.36 is: 2,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.86 : 4,778.46 = 2,136.36 : x
  2. Step 2: Convert to fraction form
    3,460.86/4,778.46 = 2,136.36/x
  3. Step 3: Cross multiply
    3,460.86x = 4,778.46 × 2,136.36
  4. Step 4: Simplify right side
    3,460.86x = 10,208,510.81
  5. Step 5: Solve for x
    x = 10,208,510.81/3,460.86
  6. Step 6: Final answer
    x = 2,949.70

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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.