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Finding the Fourth Proportional to 4,281.53, 6,425.71 and 4,144.84

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Solution

The fourth proportional to 4,281.53, 6,425.71 and 4,144.84 is: 6,220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.53 : 6,425.71 = 4,144.84 : x
  2. Step 2: Convert to fraction form
    4,281.53/6,425.71 = 4,144.84/x
  3. Step 3: Cross multiply
    4,281.53x = 6,425.71 × 4,144.84
  4. Step 4: Simplify right side
    4,281.53x = 26,633,536.72
  5. Step 5: Solve for x
    x = 26,633,536.72/4,281.53
  6. Step 6: Final answer
    x = 6,220.57

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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.