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Finding the Fourth Proportional to 3,830,691.07, 5,744,786.40 and 1,271,218.51

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Solution

The fourth proportional to 3,830,691.07, 5,744,786.40 and 1,271,218.51 is: 1,906,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830,691.07 : 5,744,786.40 = 1,271,218.51 : x
  2. Step 2: Convert to fraction form
    3,830,691.07/5,744,786.40 = 1,271,218.51/x
  3. Step 3: Cross multiply
    3,830,691.07x = 5,744,786.40 × 1,271,218.51
  4. Step 4: Simplify right side
    3,830,691.07x = 7,302,878,807,676.27
  5. Step 5: Solve for x
    x = 7,302,878,807,676.27/3,830,691.07
  6. Step 6: Final answer
    x = 1,906,412.88

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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.