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Finding the Fourth Proportional to 5,957.96, 8,937 and 2,261.92

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Solution

The fourth proportional to 5,957.96, 8,937 and 2,261.92 is: 3,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.96 : 8,937 = 2,261.92 : x
  2. Step 2: Convert to fraction form
    5,957.96/8,937 = 2,261.92/x
  3. Step 3: Cross multiply
    5,957.96x = 8,937 × 2,261.92
  4. Step 4: Simplify right side
    5,957.96x = 20,214,779.04
  5. Step 5: Solve for x
    x = 20,214,779.04/5,957.96
  6. Step 6: Final answer
    x = 3,392.90

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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.