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Finding the Fourth Proportional to 3,375.24, 4,657.61 and 1,883.25

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Solution

The fourth proportional to 3,375.24, 4,657.61 and 1,883.25 is: 2,598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.24 : 4,657.61 = 1,883.25 : x
  2. Step 2: Convert to fraction form
    3,375.24/4,657.61 = 1,883.25/x
  3. Step 3: Cross multiply
    3,375.24x = 4,657.61 × 1,883.25
  4. Step 4: Simplify right side
    3,375.24x = 8,771,444.03
  5. Step 5: Solve for x
    x = 8,771,444.03/3,375.24
  6. Step 6: Final answer
    x = 2,598.77

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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.