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Finding the Fourth Proportional to 3,434.51, 4,741.46 and 2,686.88

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Solution

The fourth proportional to 3,434.51, 4,741.46 and 2,686.88 is: 3,709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.51 : 4,741.46 = 2,686.88 : x
  2. Step 2: Convert to fraction form
    3,434.51/4,741.46 = 2,686.88/x
  3. Step 3: Cross multiply
    3,434.51x = 4,741.46 × 2,686.88
  4. Step 4: Simplify right side
    3,434.51x = 12,739,696.90
  5. Step 5: Solve for x
    x = 12,739,696.90/3,434.51
  6. Step 6: Final answer
    x = 3,709.33

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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.