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Finding the Fourth Proportional to 6,338.04, 8,746.40 and 3,505.60

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Solution

The fourth proportional to 6,338.04, 8,746.40 and 3,505.60 is: 4,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.04 : 8,746.40 = 3,505.60 : x
  2. Step 2: Convert to fraction form
    6,338.04/8,746.40 = 3,505.60/x
  3. Step 3: Cross multiply
    6,338.04x = 8,746.40 × 3,505.60
  4. Step 4: Simplify right side
    6,338.04x = 30,661,379.84
  5. Step 5: Solve for x
    x = 30,661,379.84/6,338.04
  6. Step 6: Final answer
    x = 4,837.68

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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.