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Finding the Fourth Proportional to 4,991.23, 7,486.80 and 1,913.23

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Solution

The fourth proportional to 4,991.23, 7,486.80 and 1,913.23 is: 2,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.23 : 7,486.80 = 1,913.23 : x
  2. Step 2: Convert to fraction form
    4,991.23/7,486.80 = 1,913.23/x
  3. Step 3: Cross multiply
    4,991.23x = 7,486.80 × 1,913.23
  4. Step 4: Simplify right side
    4,991.23x = 14,323,970.36
  5. Step 5: Solve for x
    x = 14,323,970.36/4,991.23
  6. Step 6: Final answer
    x = 2,869.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.