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Finding the Fourth Proportional to 4,573.53, 6,854.09 and 2,377.80

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Solution

The fourth proportional to 4,573.53, 6,854.09 and 2,377.80 is: 3,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.53 : 6,854.09 = 2,377.80 : x
  2. Step 2: Convert to fraction form
    4,573.53/6,854.09 = 2,377.80/x
  3. Step 3: Cross multiply
    4,573.53x = 6,854.09 × 2,377.80
  4. Step 4: Simplify right side
    4,573.53x = 16,297,643.31
  5. Step 5: Solve for x
    x = 16,297,643.31/4,573.53
  6. Step 6: Final answer
    x = 3,563.47

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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.