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Finding the Fourth Proportional to 3,518.02, 4,854.93 and 1,946.02

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Solution

The fourth proportional to 3,518.02, 4,854.93 and 1,946.02 is: 2,685.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.02 : 4,854.93 = 1,946.02 : x
  2. Step 2: Convert to fraction form
    3,518.02/4,854.93 = 1,946.02/x
  3. Step 3: Cross multiply
    3,518.02x = 4,854.93 × 1,946.02
  4. Step 4: Simplify right side
    3,518.02x = 9,447,790.88
  5. Step 5: Solve for x
    x = 9,447,790.88/3,518.02
  6. Step 6: Final answer
    x = 2,685.54

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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.