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Finding the Fourth Proportional to 4,941.40, 7,411.46 and 1,863

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Solution

The fourth proportional to 4,941.40, 7,411.46 and 1,863 is: 2,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.40 : 7,411.46 = 1,863 : x
  2. Step 2: Convert to fraction form
    4,941.40/7,411.46 = 1,863/x
  3. Step 3: Cross multiply
    4,941.40x = 7,411.46 × 1,863
  4. Step 4: Simplify right side
    4,941.40x = 13,807,549.98
  5. Step 5: Solve for x
    x = 13,807,549.98/4,941.40
  6. Step 6: Final answer
    x = 2,794.26

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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.