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Finding the Fourth Proportional to 5,874.54, 8,813.34 and 1,714.46

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Solution

The fourth proportional to 5,874.54, 8,813.34 and 1,714.46 is: 2,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.54 : 8,813.34 = 1,714.46 : x
  2. Step 2: Convert to fraction form
    5,874.54/8,813.34 = 1,714.46/x
  3. Step 3: Cross multiply
    5,874.54x = 8,813.34 × 1,714.46
  4. Step 4: Simplify right side
    5,874.54x = 15,110,118.90
  5. Step 5: Solve for x
    x = 15,110,118.90/5,874.54
  6. Step 6: Final answer
    x = 2,572.14

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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.