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Finding the Fourth Proportional to 4,806.72, 6,576.21 and 4,785.95

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Solution

The fourth proportional to 4,806.72, 6,576.21 and 4,785.95 is: 6,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.72 : 6,576.21 = 4,785.95 : x
  2. Step 2: Convert to fraction form
    4,806.72/6,576.21 = 4,785.95/x
  3. Step 3: Cross multiply
    4,806.72x = 6,576.21 × 4,785.95
  4. Step 4: Simplify right side
    4,806.72x = 31,473,428.69
  5. Step 5: Solve for x
    x = 31,473,428.69/4,806.72
  6. Step 6: Final answer
    x = 6,547.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.