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Finding the Fourth Proportional to 4,926.09, 6,800.51 and 3,804.51

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Solution

The fourth proportional to 4,926.09, 6,800.51 and 3,804.51 is: 5,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.09 : 6,800.51 = 3,804.51 : x
  2. Step 2: Convert to fraction form
    4,926.09/6,800.51 = 3,804.51/x
  3. Step 3: Cross multiply
    4,926.09x = 6,800.51 × 3,804.51
  4. Step 4: Simplify right side
    4,926.09x = 25,872,617.81
  5. Step 5: Solve for x
    x = 25,872,617.81/4,926.09
  6. Step 6: Final answer
    x = 5,252.16

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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.