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Finding the Fourth Proportional to 4,751.49, 7,093.86 and 4,284.93

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Solution

The fourth proportional to 4,751.49, 7,093.86 and 4,284.93 is: 6,397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.49 : 7,093.86 = 4,284.93 : x
  2. Step 2: Convert to fraction form
    4,751.49/7,093.86 = 4,284.93/x
  3. Step 3: Cross multiply
    4,751.49x = 7,093.86 × 4,284.93
  4. Step 4: Simplify right side
    4,751.49x = 30,396,693.53
  5. Step 5: Solve for x
    x = 30,396,693.53/4,751.49
  6. Step 6: Final answer
    x = 6,397.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.