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Finding the Fourth Proportional to 3,791,324.97, 5,686,987.47 and 1,266,980.22

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Solution

The fourth proportional to 3,791,324.97, 5,686,987.47 and 1,266,980.22 is: 1,900,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791,324.97 : 5,686,987.47 = 1,266,980.22 : x
  2. Step 2: Convert to fraction form
    3,791,324.97/5,686,987.47 = 1,266,980.22/x
  3. Step 3: Cross multiply
    3,791,324.97x = 5,686,987.47 × 1,266,980.22
  4. Step 4: Simplify right side
    3,791,324.97x = 7,205,300,635,877.84
  5. Step 5: Solve for x
    x = 7,205,300,635,877.84/3,791,324.97
  6. Step 6: Final answer
    x = 1,900,470.34

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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.