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Finding the Fourth Proportional to 5,117.53, 7,676.33 and 1,828.32

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Solution

The fourth proportional to 5,117.53, 7,676.33 and 1,828.32 is: 2,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.53 : 7,676.33 = 1,828.32 : x
  2. Step 2: Convert to fraction form
    5,117.53/7,676.33 = 1,828.32/x
  3. Step 3: Cross multiply
    5,117.53x = 7,676.33 × 1,828.32
  4. Step 4: Simplify right side
    5,117.53x = 14,034,787.67
  5. Step 5: Solve for x
    x = 14,034,787.67/5,117.53
  6. Step 6: Final answer
    x = 2,742.49

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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.