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Finding the Fourth Proportional to 4,290.51, 6,434.07 and 1,825.41

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Solution

The fourth proportional to 4,290.51, 6,434.07 and 1,825.41 is: 2,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.51 : 6,434.07 = 1,825.41 : x
  2. Step 2: Convert to fraction form
    4,290.51/6,434.07 = 1,825.41/x
  3. Step 3: Cross multiply
    4,290.51x = 6,434.07 × 1,825.41
  4. Step 4: Simplify right side
    4,290.51x = 11,744,815.72
  5. Step 5: Solve for x
    x = 11,744,815.72/4,290.51
  6. Step 6: Final answer
    x = 2,737.39

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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.