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Finding the Fourth Proportional to 4,856.64, 7,278.12 and 2,773.53

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Solution

The fourth proportional to 4,856.64, 7,278.12 and 2,773.53 is: 4,156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.64 : 7,278.12 = 2,773.53 : x
  2. Step 2: Convert to fraction form
    4,856.64/7,278.12 = 2,773.53/x
  3. Step 3: Cross multiply
    4,856.64x = 7,278.12 × 2,773.53
  4. Step 4: Simplify right side
    4,856.64x = 20,186,084.16
  5. Step 5: Solve for x
    x = 20,186,084.16/4,856.64
  6. Step 6: Final answer
    x = 4,156.39

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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.