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Finding the Fourth Proportional to 3,819.95, 5,730.16 and 1,046.51

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Solution

The fourth proportional to 3,819.95, 5,730.16 and 1,046.51 is: 1,569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.95 : 5,730.16 = 1,046.51 : x
  2. Step 2: Convert to fraction form
    3,819.95/5,730.16 = 1,046.51/x
  3. Step 3: Cross multiply
    3,819.95x = 5,730.16 × 1,046.51
  4. Step 4: Simplify right side
    3,819.95x = 5,996,669.74
  5. Step 5: Solve for x
    x = 5,996,669.74/3,819.95
  6. Step 6: Final answer
    x = 1,569.83

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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.