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Finding the Fourth Proportional to 5,642,949.41, 7,787,315.94 and 3,064,648.64

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Solution

The fourth proportional to 5,642,949.41, 7,787,315.94 and 3,064,648.64 is: 4,229,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642,949.41 : 7,787,315.94 = 3,064,648.64 : x
  2. Step 2: Convert to fraction form
    5,642,949.41/7,787,315.94 = 3,064,648.64/x
  3. Step 3: Cross multiply
    5,642,949.41x = 7,787,315.94 × 3,064,648.64
  4. Step 4: Simplify right side
    5,642,949.41x = 23,865,387,165,834.74
  5. Step 5: Solve for x
    x = 23,865,387,165,834.74/5,642,949.41
  6. Step 6: Final answer
    x = 4,229,239.97

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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.