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Finding the Fourth Proportional to 5,573.84, 8,361.18 and 1,876.08

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Solution

The fourth proportional to 5,573.84, 8,361.18 and 1,876.08 is: 2,814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,573.84 : 8,361.18 = 1,876.08 : x
  2. Step 2: Convert to fraction form
    5,573.84/8,361.18 = 1,876.08/x
  3. Step 3: Cross multiply
    5,573.84x = 8,361.18 × 1,876.08
  4. Step 4: Simplify right side
    5,573.84x = 15,686,242.57
  5. Step 5: Solve for x
    x = 15,686,242.57/5,573.84
  6. Step 6: Final answer
    x = 2,814.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.