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Finding the Fourth Proportional to 4,571.59, 6,851.77 and 3,643.33

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Solution

The fourth proportional to 4,571.59, 6,851.77 and 3,643.33 is: 5,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.59 : 6,851.77 = 3,643.33 : x
  2. Step 2: Convert to fraction form
    4,571.59/6,851.77 = 3,643.33/x
  3. Step 3: Cross multiply
    4,571.59x = 6,851.77 × 3,643.33
  4. Step 4: Simplify right side
    4,571.59x = 24,963,267.22
  5. Step 5: Solve for x
    x = 24,963,267.22/4,571.59
  6. Step 6: Final answer
    x = 5,460.52

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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.