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Finding the Fourth Proportional to 3,830.84, 5,746.92 and 1,883.24

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Solution

The fourth proportional to 3,830.84, 5,746.92 and 1,883.24 is: 2,825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.84 : 5,746.92 = 1,883.24 : x
  2. Step 2: Convert to fraction form
    3,830.84/5,746.92 = 1,883.24/x
  3. Step 3: Cross multiply
    3,830.84x = 5,746.92 × 1,883.24
  4. Step 4: Simplify right side
    3,830.84x = 10,822,829.62
  5. Step 5: Solve for x
    x = 10,822,829.62/3,830.84
  6. Step 6: Final answer
    x = 2,825.18

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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.