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Finding the Fourth Proportional to 5,683,398.16, 7,843,202.32 and 3,105,238.64

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Solution

The fourth proportional to 5,683,398.16, 7,843,202.32 and 3,105,238.64 is: 4,285,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683,398.16 : 7,843,202.32 = 3,105,238.64 : x
  2. Step 2: Convert to fraction form
    5,683,398.16/7,843,202.32 = 3,105,238.64/x
  3. Step 3: Cross multiply
    5,683,398.16x = 7,843,202.32 × 3,105,238.64
  4. Step 4: Simplify right side
    5,683,398.16x = 24,355,014,905,401.65
  5. Step 5: Solve for x
    x = 24,355,014,905,401.65/5,683,398.16
  6. Step 6: Final answer
    x = 4,285,290.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.