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Finding the Fourth Proportional to 4,898.66, 6,761.33 and 2,804.00

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Solution

The fourth proportional to 4,898.66, 6,761.33 and 2,804.00 is: 3,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.66 : 6,761.33 = 2,804.00 : x
  2. Step 2: Convert to fraction form
    4,898.66/6,761.33 = 2,804.00/x
  3. Step 3: Cross multiply
    4,898.66x = 6,761.33 × 2,804.00
  4. Step 4: Simplify right side
    4,898.66x = 18,958,721.49
  5. Step 5: Solve for x
    x = 18,958,721.49/4,898.66
  6. Step 6: Final answer
    x = 3,870.19

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Why These Related Problems?

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