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Finding the Fourth Proportional to 5,704.46, 7,869.98 and 3,465.50

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Solution

The fourth proportional to 5,704.46, 7,869.98 and 3,465.50 is: 4,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.46 : 7,869.98 = 3,465.50 : x
  2. Step 2: Convert to fraction form
    5,704.46/7,869.98 = 3,465.50/x
  3. Step 3: Cross multiply
    5,704.46x = 7,869.98 × 3,465.50
  4. Step 4: Simplify right side
    5,704.46x = 27,273,415.69
  5. Step 5: Solve for x
    x = 27,273,415.69/5,704.46
  6. Step 6: Final answer
    x = 4,781.07

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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.