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Finding the Fourth Proportional to 4,904.06, 6,767.63 and 2,665.93

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Solution

The fourth proportional to 4,904.06, 6,767.63 and 2,665.93 is: 3,679.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.06 : 6,767.63 = 2,665.93 : x
  2. Step 2: Convert to fraction form
    4,904.06/6,767.63 = 2,665.93/x
  3. Step 3: Cross multiply
    4,904.06x = 6,767.63 × 2,665.93
  4. Step 4: Simplify right side
    4,904.06x = 18,042,034.51
  5. Step 5: Solve for x
    x = 18,042,034.51/4,904.06
  6. Step 6: Final answer
    x = 3,679.00

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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.