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Finding the Fourth Proportional to 3,455,654.86, 4,769,752.23 and 2,005,817.41

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Solution

The fourth proportional to 3,455,654.86, 4,769,752.23 and 2,005,817.41 is: 2,768,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455,654.86 : 4,769,752.23 = 2,005,817.41 : x
  2. Step 2: Convert to fraction form
    3,455,654.86/4,769,752.23 = 2,005,817.41/x
  3. Step 3: Cross multiply
    3,455,654.86x = 4,769,752.23 × 2,005,817.41
  4. Step 4: Simplify right side
    3,455,654.86x = 9,567,252,064,320.32
  5. Step 5: Solve for x
    x = 9,567,252,064,320.32/3,455,654.86
  6. Step 6: Final answer
    x = 2,768,578.59

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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.