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Finding the Fourth Proportional to 3,873.17, 5,810.46 and 1,411.45

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Solution

The fourth proportional to 3,873.17, 5,810.46 and 1,411.45 is: 2,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.17 : 5,810.46 = 1,411.45 : x
  2. Step 2: Convert to fraction form
    3,873.17/5,810.46 = 1,411.45/x
  3. Step 3: Cross multiply
    3,873.17x = 5,810.46 × 1,411.45
  4. Step 4: Simplify right side
    3,873.17x = 8,201,173.77
  5. Step 5: Solve for x
    x = 8,201,173.77/3,873.17
  6. Step 6: Final answer
    x = 2,117.43

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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.