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Finding the Fourth Proportional to 3,415.06, 4,707.82 and 2,940.91

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Solution

The fourth proportional to 3,415.06, 4,707.82 and 2,940.91 is: 4,054.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.06 : 4,707.82 = 2,940.91 : x
  2. Step 2: Convert to fraction form
    3,415.06/4,707.82 = 2,940.91/x
  3. Step 3: Cross multiply
    3,415.06x = 4,707.82 × 2,940.91
  4. Step 4: Simplify right side
    3,415.06x = 13,845,266.82
  5. Step 5: Solve for x
    x = 13,845,266.82/3,415.06
  6. Step 6: Final answer
    x = 4,054.18

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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.