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Finding the Fourth Proportional to 3,518.34, 4,855.38 and 1,946.46

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Solution

The fourth proportional to 3,518.34, 4,855.38 and 1,946.46 is: 2,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.34 : 4,855.38 = 1,946.46 : x
  2. Step 2: Convert to fraction form
    3,518.34/4,855.38 = 1,946.46/x
  3. Step 3: Cross multiply
    3,518.34x = 4,855.38 × 1,946.46
  4. Step 4: Simplify right side
    3,518.34x = 9,450,802.95
  5. Step 5: Solve for x
    x = 9,450,802.95/3,518.34
  6. Step 6: Final answer
    x = 2,686.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.