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Finding the Fourth Proportional to 3,834.54, 5,746.95 and 1,641.06

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Solution

The fourth proportional to 3,834.54, 5,746.95 and 1,641.06 is: 2,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.54 : 5,746.95 = 1,641.06 : x
  2. Step 2: Convert to fraction form
    3,834.54/5,746.95 = 1,641.06/x
  3. Step 3: Cross multiply
    3,834.54x = 5,746.95 × 1,641.06
  4. Step 4: Simplify right side
    3,834.54x = 9,431,089.77
  5. Step 5: Solve for x
    x = 9,431,089.77/3,834.54
  6. Step 6: Final answer
    x = 2,459.51

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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.