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Finding the Fourth Proportional to 5,683,997.22, 7,843,904.10 and 3,105,696.48

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Solution

The fourth proportional to 5,683,997.22, 7,843,904.10 and 3,105,696.48 is: 4,285,854.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683,997.22 : 7,843,904.10 = 3,105,696.48 : x
  2. Step 2: Convert to fraction form
    5,683,997.22/7,843,904.10 = 3,105,696.48/x
  3. Step 3: Cross multiply
    5,683,997.22x = 7,843,904.10 × 3,105,696.48
  4. Step 4: Simplify right side
    5,683,997.22x = 24,360,785,352,827.57
  5. Step 5: Solve for x
    x = 24,360,785,352,827.57/5,683,997.22
  6. Step 6: Final answer
    x = 4,285,854.55

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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.