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Finding the Fourth Proportional to 5,772.42, 8,657.70 and 1,611.99

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Solution

The fourth proportional to 5,772.42, 8,657.70 and 1,611.99 is: 2,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.42 : 8,657.70 = 1,611.99 : x
  2. Step 2: Convert to fraction form
    5,772.42/8,657.70 = 1,611.99/x
  3. Step 3: Cross multiply
    5,772.42x = 8,657.70 × 1,611.99
  4. Step 4: Simplify right side
    5,772.42x = 13,956,125.82
  5. Step 5: Solve for x
    x = 13,956,125.82/5,772.42
  6. Step 6: Final answer
    x = 2,417.73

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Why These Related Problems?

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