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Finding the Fourth Proportional to 3,518.84, 4,856.07 and 1,946.96

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Solution

The fourth proportional to 3,518.84, 4,856.07 and 1,946.96 is: 2,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.84 : 4,856.07 = 1,946.96 : x
  2. Step 2: Convert to fraction form
    3,518.84/4,856.07 = 1,946.96/x
  3. Step 3: Cross multiply
    3,518.84x = 4,856.07 × 1,946.96
  4. Step 4: Simplify right side
    3,518.84x = 9,454,574.05
  5. Step 5: Solve for x
    x = 9,454,574.05/3,518.84
  6. Step 6: Final answer
    x = 2,686.84

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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.