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Finding the Fourth Proportional to 3,375.76, 4,658.42 and 1,883.74

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Solution

The fourth proportional to 3,375.76, 4,658.42 and 1,883.74 is: 2,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.76 : 4,658.42 = 1,883.74 : x
  2. Step 2: Convert to fraction form
    3,375.76/4,658.42 = 1,883.74/x
  3. Step 3: Cross multiply
    3,375.76x = 4,658.42 × 1,883.74
  4. Step 4: Simplify right side
    3,375.76x = 8,775,252.09
  5. Step 5: Solve for x
    x = 8,775,252.09/3,375.76
  6. Step 6: Final answer
    x = 2,599.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.