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Finding the Fourth Proportional to 3,884,391.54, 5,827,440.75 and 1,188,924.63

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Solution

The fourth proportional to 3,884,391.54, 5,827,440.75 and 1,188,924.63 is: 1,783,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884,391.54 : 5,827,440.75 = 1,188,924.63 : x
  2. Step 2: Convert to fraction form
    3,884,391.54/5,827,440.75 = 1,188,924.63/x
  3. Step 3: Cross multiply
    3,884,391.54x = 5,827,440.75 × 1,188,924.63
  4. Step 4: Simplify right side
    3,884,391.54x = 6,928,387,837,540.67
  5. Step 5: Solve for x
    x = 6,928,387,837,540.67/3,884,391.54
  6. Step 6: Final answer
    x = 1,783,648.16

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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.