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Finding the Fourth Proportional to 4,826.13, 7,222.74 and 4,047

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Solution

The fourth proportional to 4,826.13, 7,222.74 and 4,047 is: 6,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.13 : 7,222.74 = 4,047 : x
  2. Step 2: Convert to fraction form
    4,826.13/7,222.74 = 4,047/x
  3. Step 3: Cross multiply
    4,826.13x = 7,222.74 × 4,047
  4. Step 4: Simplify right side
    4,826.13x = 29,230,428.78
  5. Step 5: Solve for x
    x = 29,230,428.78/4,826.13
  6. Step 6: Final answer
    x = 6,056.70

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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.