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Finding the Fourth Proportional to 3,625.94, 5,434.77 and 1,542.89

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Solution

The fourth proportional to 3,625.94, 5,434.77 and 1,542.89 is: 2,312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.94 : 5,434.77 = 1,542.89 : x
  2. Step 2: Convert to fraction form
    3,625.94/5,434.77 = 1,542.89/x
  3. Step 3: Cross multiply
    3,625.94x = 5,434.77 × 1,542.89
  4. Step 4: Simplify right side
    3,625.94x = 8,385,252.29
  5. Step 5: Solve for x
    x = 8,385,252.29/3,625.94
  6. Step 6: Final answer
    x = 2,312.57

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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.