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Finding the Fourth Proportional to 4,608.51, 6,910.94 and 2,009.63

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Solution

The fourth proportional to 4,608.51, 6,910.94 and 2,009.63 is: 3,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.51 : 6,910.94 = 2,009.63 : x
  2. Step 2: Convert to fraction form
    4,608.51/6,910.94 = 2,009.63/x
  3. Step 3: Cross multiply
    4,608.51x = 6,910.94 × 2,009.63
  4. Step 4: Simplify right side
    4,608.51x = 13,888,387.75
  5. Step 5: Solve for x
    x = 13,888,387.75/4,608.51
  6. Step 6: Final answer
    x = 3,013.64

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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.