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Finding the Fourth Proportional to 3,518.65, 4,855.71 and 2,102.95

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Solution

The fourth proportional to 3,518.65, 4,855.71 and 2,102.95 is: 2,902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.65 : 4,855.71 = 2,102.95 : x
  2. Step 2: Convert to fraction form
    3,518.65/4,855.71 = 2,102.95/x
  3. Step 3: Cross multiply
    3,518.65x = 4,855.71 × 2,102.95
  4. Step 4: Simplify right side
    3,518.65x = 10,211,315.34
  5. Step 5: Solve for x
    x = 10,211,315.34/3,518.65
  6. Step 6: Final answer
    x = 2,902.05

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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.