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Finding the Fourth Proportional to 3,470,727.84, 4,786,239.60 and 2,706,502.56

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Solution

The fourth proportional to 3,470,727.84, 4,786,239.60 and 2,706,502.56 is: 3,732,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470,727.84 : 4,786,239.60 = 2,706,502.56 : x
  2. Step 2: Convert to fraction form
    3,470,727.84/4,786,239.60 = 2,706,502.56/x
  3. Step 3: Cross multiply
    3,470,727.84x = 4,786,239.60 × 2,706,502.56
  4. Step 4: Simplify right side
    3,470,727.84x = 12,953,969,730,173.38
  5. Step 5: Solve for x
    x = 12,953,969,730,173.38/3,470,727.84
  6. Step 6: Final answer
    x = 3,732,349.62

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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.