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Finding the Fourth Proportional to 4,804.65, 6,628.12 and 2,813.98

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Solution

The fourth proportional to 4,804.65, 6,628.12 and 2,813.98 is: 3,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.65 : 6,628.12 = 2,813.98 : x
  2. Step 2: Convert to fraction form
    4,804.65/6,628.12 = 2,813.98/x
  3. Step 3: Cross multiply
    4,804.65x = 6,628.12 × 2,813.98
  4. Step 4: Simplify right side
    4,804.65x = 18,651,397.12
  5. Step 5: Solve for x
    x = 18,651,397.12/4,804.65
  6. Step 6: Final answer
    x = 3,881.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.