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Finding the Fourth Proportional to 5,781,784.58, 7,978,593.93 and 3,168,273.14

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Solution

The fourth proportional to 5,781,784.58, 7,978,593.93 and 3,168,273.14 is: 4,372,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781,784.58 : 7,978,593.93 = 3,168,273.14 : x
  2. Step 2: Convert to fraction form
    5,781,784.58/7,978,593.93 = 3,168,273.14/x
  3. Step 3: Cross multiply
    5,781,784.58x = 7,978,593.93 × 3,168,273.14
  4. Step 4: Simplify right side
    5,781,784.58x = 25,278,364,843,386.04
  5. Step 5: Solve for x
    x = 25,278,364,843,386.04/5,781,784.58
  6. Step 6: Final answer
    x = 4,372,069.64

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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.