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Finding the Fourth Proportional to 3,518.52, 4,855.80 and 1,946.64

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Solution

The fourth proportional to 3,518.52, 4,855.80 and 1,946.64 is: 2,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.52 : 4,855.80 = 1,946.64 : x
  2. Step 2: Convert to fraction form
    3,518.52/4,855.80 = 1,946.64/x
  3. Step 3: Cross multiply
    3,518.52x = 4,855.80 × 1,946.64
  4. Step 4: Simplify right side
    3,518.52x = 9,452,494.51
  5. Step 5: Solve for x
    x = 9,452,494.51/3,518.52
  6. Step 6: Final answer
    x = 2,686.50

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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.