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Finding the Fourth Proportional to 6,338.51, 8,746.98 and 3,505.81

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Solution

The fourth proportional to 6,338.51, 8,746.98 and 3,505.81 is: 4,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.51 : 8,746.98 = 3,505.81 : x
  2. Step 2: Convert to fraction form
    6,338.51/8,746.98 = 3,505.81/x
  3. Step 3: Cross multiply
    6,338.51x = 8,746.98 × 3,505.81
  4. Step 4: Simplify right side
    6,338.51x = 30,665,259.23
  5. Step 5: Solve for x
    x = 30,665,259.23/6,338.51
  6. Step 6: Final answer
    x = 4,837.93

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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.