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Finding the Fourth Proportional to 4,852.56, 7,277.76 and 1,930.08

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Solution

The fourth proportional to 4,852.56, 7,277.76 and 1,930.08 is: 2,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.56 : 7,277.76 = 1,930.08 : x
  2. Step 2: Convert to fraction form
    4,852.56/7,277.76 = 1,930.08/x
  3. Step 3: Cross multiply
    4,852.56x = 7,277.76 × 1,930.08
  4. Step 4: Simplify right side
    4,852.56x = 14,046,659.02
  5. Step 5: Solve for x
    x = 14,046,659.02/4,852.56
  6. Step 6: Final answer
    x = 2,894.69

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