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Finding the Fourth Proportional to 3,494,653.09, 4,822,575.24 and 1,924,754.76

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Solution

The fourth proportional to 3,494,653.09, 4,822,575.24 and 1,924,754.76 is: 2,656,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494,653.09 : 4,822,575.24 = 1,924,754.76 : x
  2. Step 2: Convert to fraction form
    3,494,653.09/4,822,575.24 = 1,924,754.76/x
  3. Step 3: Cross multiply
    3,494,653.09x = 4,822,575.24 × 1,924,754.76
  4. Step 4: Simplify right side
    3,494,653.09x = 9,282,274,648,648.14
  5. Step 5: Solve for x
    x = 9,282,274,648,648.14/3,494,653.09
  6. Step 6: Final answer
    x = 2,656,136.22

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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.