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Finding the Fourth Proportional to 5,820.95, 8,731.43 and 1,438.34

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Solution

The fourth proportional to 5,820.95, 8,731.43 and 1,438.34 is: 2,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.95 : 8,731.43 = 1,438.34 : x
  2. Step 2: Convert to fraction form
    5,820.95/8,731.43 = 1,438.34/x
  3. Step 3: Cross multiply
    5,820.95x = 8,731.43 × 1,438.34
  4. Step 4: Simplify right side
    5,820.95x = 12,558,714.18
  5. Step 5: Solve for x
    x = 12,558,714.18/5,820.95
  6. Step 6: Final answer
    x = 2,157.50

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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.