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Finding the Fourth Proportional to 4,852.50, 6,696.99 and 2,989.50

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Solution

The fourth proportional to 4,852.50, 6,696.99 and 2,989.50 is: 4,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.50 : 6,696.99 = 2,989.50 : x
  2. Step 2: Convert to fraction form
    4,852.50/6,696.99 = 2,989.50/x
  3. Step 3: Cross multiply
    4,852.50x = 6,696.99 × 2,989.50
  4. Step 4: Simplify right side
    4,852.50x = 20,020,651.61
  5. Step 5: Solve for x
    x = 20,020,651.61/4,852.50
  6. Step 6: Final answer
    x = 4,125.84

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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.