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Finding the Fourth Proportional to 3,518.65, 4,855.68 and 1,946.75

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Solution

The fourth proportional to 3,518.65, 4,855.68 and 1,946.75 is: 2,686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.65 : 4,855.68 = 1,946.75 : x
  2. Step 2: Convert to fraction form
    3,518.65/4,855.68 = 1,946.75/x
  3. Step 3: Cross multiply
    3,518.65x = 4,855.68 × 1,946.75
  4. Step 4: Simplify right side
    3,518.65x = 9,452,770.76
  5. Step 5: Solve for x
    x = 9,452,770.76/3,518.65
  6. Step 6: Final answer
    x = 2,686.48

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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.