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Finding the Fourth Proportional to 5,958.52, 8,946 and 3,038.86

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Solution

The fourth proportional to 5,958.52, 8,946 and 3,038.86 is: 4,562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.52 : 8,946 = 3,038.86 : x
  2. Step 2: Convert to fraction form
    5,958.52/8,946 = 3,038.86/x
  3. Step 3: Cross multiply
    5,958.52x = 8,946 × 3,038.86
  4. Step 4: Simplify right side
    5,958.52x = 27,185,641.56
  5. Step 5: Solve for x
    x = 27,185,641.56/5,958.52
  6. Step 6: Final answer
    x = 4,562.48

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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.