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Finding the Fourth Proportional to 3,965,842.16, 5,946,926.16 and 3,205,815.92

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Solution

The fourth proportional to 3,965,842.16, 5,946,926.16 and 3,205,815.92 is: 4,807,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965,842.16 : 5,946,926.16 = 3,205,815.92 : x
  2. Step 2: Convert to fraction form
    3,965,842.16/5,946,926.16 = 3,205,815.92/x
  3. Step 3: Cross multiply
    3,965,842.16x = 5,946,926.16 × 3,205,815.92
  4. Step 4: Simplify right side
    3,965,842.16x = 19,064,750,558,792.47
  5. Step 5: Solve for x
    x = 19,064,750,558,792.47/3,965,842.16
  6. Step 6: Final answer
    x = 4,807,238.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.