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Finding the Fourth Proportional to 4,856.76, 7,285.14 and 1,208.76

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Solution

The fourth proportional to 4,856.76, 7,285.14 and 1,208.76 is: 1,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.76 : 7,285.14 = 1,208.76 : x
  2. Step 2: Convert to fraction form
    4,856.76/7,285.14 = 1,208.76/x
  3. Step 3: Cross multiply
    4,856.76x = 7,285.14 × 1,208.76
  4. Step 4: Simplify right side
    4,856.76x = 8,805,985.83
  5. Step 5: Solve for x
    x = 8,805,985.83/4,856.76
  6. Step 6: Final answer
    x = 1,813.14

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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.