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Finding the Fourth Proportional to 4,097.07, 6,144.21 and 1,323

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Solution

The fourth proportional to 4,097.07, 6,144.21 and 1,323 is: 1,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.07 : 6,144.21 = 1,323 : x
  2. Step 2: Convert to fraction form
    4,097.07/6,144.21 = 1,323/x
  3. Step 3: Cross multiply
    4,097.07x = 6,144.21 × 1,323
  4. Step 4: Simplify right side
    4,097.07x = 8,128,789.83
  5. Step 5: Solve for x
    x = 8,128,789.83/4,097.07
  6. Step 6: Final answer
    x = 1,984.05

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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.