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Finding the Fourth Proportional to 3,364.70, 4,643.16 and 1,872.50

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Solution

The fourth proportional to 3,364.70, 4,643.16 and 1,872.50 is: 2,583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.70 : 4,643.16 = 1,872.50 : x
  2. Step 2: Convert to fraction form
    3,364.70/4,643.16 = 1,872.50/x
  3. Step 3: Cross multiply
    3,364.70x = 4,643.16 × 1,872.50
  4. Step 4: Simplify right side
    3,364.70x = 8,694,317.10
  5. Step 5: Solve for x
    x = 8,694,317.10/3,364.70
  6. Step 6: Final answer
    x = 2,583.98

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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.