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Finding the Fourth Proportional to 5,765,809.48, 7,956,983.15 and 3,187,656.34

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Solution

The fourth proportional to 5,765,809.48, 7,956,983.15 and 3,187,656.34 is: 4,399,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765,809.48 : 7,956,983.15 = 3,187,656.34 : x
  2. Step 2: Convert to fraction form
    5,765,809.48/7,956,983.15 = 3,187,656.34/x
  3. Step 3: Cross multiply
    5,765,809.48x = 7,956,983.15 × 3,187,656.34
  4. Step 4: Simplify right side
    5,765,809.48x = 25,364,127,785,370.67
  5. Step 5: Solve for x
    x = 25,364,127,785,370.67/5,765,809.48
  6. Step 6: Final answer
    x = 4,399,057.56

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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.