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Finding the Fourth Proportional to 3,415.80, 5,124.51 and 1,567.47

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Solution

The fourth proportional to 3,415.80, 5,124.51 and 1,567.47 is: 2,351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.80 : 5,124.51 = 1,567.47 : x
  2. Step 2: Convert to fraction form
    3,415.80/5,124.51 = 1,567.47/x
  3. Step 3: Cross multiply
    3,415.80x = 5,124.51 × 1,567.47
  4. Step 4: Simplify right side
    3,415.80x = 8,032,515.69
  5. Step 5: Solve for x
    x = 8,032,515.69/3,415.80
  6. Step 6: Final answer
    x = 2,351.58

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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.