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Finding the Fourth Proportional to 3,415.80, 5,124.48 and 1,567.44

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Solution

The fourth proportional to 3,415.80, 5,124.48 and 1,567.44 is: 2,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.80 : 5,124.48 = 1,567.44 : x
  2. Step 2: Convert to fraction form
    3,415.80/5,124.48 = 1,567.44/x
  3. Step 3: Cross multiply
    3,415.80x = 5,124.48 × 1,567.44
  4. Step 4: Simplify right side
    3,415.80x = 8,032,314.93
  5. Step 5: Solve for x
    x = 8,032,314.93/3,415.80
  6. Step 6: Final answer
    x = 2,351.52

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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.