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Finding the Fourth Proportional to 4,855.58, 7,283.86 and 1,933.20

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Solution

The fourth proportional to 4,855.58, 7,283.86 and 1,933.20 is: 2,900.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.58 : 7,283.86 = 1,933.20 : x
  2. Step 2: Convert to fraction form
    4,855.58/7,283.86 = 1,933.20/x
  3. Step 3: Cross multiply
    4,855.58x = 7,283.86 × 1,933.20
  4. Step 4: Simplify right side
    4,855.58x = 14,081,158.15
  5. Step 5: Solve for x
    x = 14,081,158.15/4,855.58
  6. Step 6: Final answer
    x = 2,900.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.