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Finding the Fourth Proportional to 3,404.42, 5,106.73 and 1,323.93

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Solution

The fourth proportional to 3,404.42, 5,106.73 and 1,323.93 is: 1,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.42 : 5,106.73 = 1,323.93 : x
  2. Step 2: Convert to fraction form
    3,404.42/5,106.73 = 1,323.93/x
  3. Step 3: Cross multiply
    3,404.42x = 5,106.73 × 1,323.93
  4. Step 4: Simplify right side
    3,404.42x = 6,760,953.05
  5. Step 5: Solve for x
    x = 6,760,953.05/3,404.42
  6. Step 6: Final answer
    x = 1,985.93

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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.