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Finding the Fourth Proportional to 4,856.24, 7,285.08 and 1,778

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Solution

The fourth proportional to 4,856.24, 7,285.08 and 1,778 is: 2,667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.24 : 7,285.08 = 1,778 : x
  2. Step 2: Convert to fraction form
    4,856.24/7,285.08 = 1,778/x
  3. Step 3: Cross multiply
    4,856.24x = 7,285.08 × 1,778
  4. Step 4: Simplify right side
    4,856.24x = 12,952,872.24
  5. Step 5: Solve for x
    x = 12,952,872.24/4,856.24
  6. Step 6: Final answer
    x = 2,667.26

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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.