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Finding the Fourth Proportional to 4,070.51, 6,105.43 and 1,297.07

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Solution

The fourth proportional to 4,070.51, 6,105.43 and 1,297.07 is: 1,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.51 : 6,105.43 = 1,297.07 : x
  2. Step 2: Convert to fraction form
    4,070.51/6,105.43 = 1,297.07/x
  3. Step 3: Cross multiply
    4,070.51x = 6,105.43 × 1,297.07
  4. Step 4: Simplify right side
    4,070.51x = 7,919,170.09
  5. Step 5: Solve for x
    x = 7,919,170.09/4,070.51
  6. Step 6: Final answer
    x = 1,945.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.