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Finding the Fourth Proportional to 5,701.41, 7,869.83 and 3,343.50

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Solution

The fourth proportional to 5,701.41, 7,869.83 and 3,343.50 is: 4,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.41 : 7,869.83 = 3,343.50 : x
  2. Step 2: Convert to fraction form
    5,701.41/7,869.83 = 3,343.50/x
  3. Step 3: Cross multiply
    5,701.41x = 7,869.83 × 3,343.50
  4. Step 4: Simplify right side
    5,701.41x = 26,312,759.89
  5. Step 5: Solve for x
    x = 26,312,759.89/5,701.41
  6. Step 6: Final answer
    x = 4,615.13

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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.