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Finding the Fourth Proportional to 3,502.36, 4,834.60 and 2,323

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Solution

The fourth proportional to 3,502.36, 4,834.60 and 2,323 is: 3,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.36 : 4,834.60 = 2,323 : x
  2. Step 2: Convert to fraction form
    3,502.36/4,834.60 = 2,323/x
  3. Step 3: Cross multiply
    3,502.36x = 4,834.60 × 2,323
  4. Step 4: Simplify right side
    3,502.36x = 11,230,775.80
  5. Step 5: Solve for x
    x = 11,230,775.80/3,502.36
  6. Step 6: Final answer
    x = 3,206.63

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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.