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Finding the Fourth Proportional to 5,978.94, 8,967.73 and 1,596.74

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Solution

The fourth proportional to 5,978.94, 8,967.73 and 1,596.74 is: 2,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.94 : 8,967.73 = 1,596.74 : x
  2. Step 2: Convert to fraction form
    5,978.94/8,967.73 = 1,596.74/x
  3. Step 3: Cross multiply
    5,978.94x = 8,967.73 × 1,596.74
  4. Step 4: Simplify right side
    5,978.94x = 14,319,133.20
  5. Step 5: Solve for x
    x = 14,319,133.20/5,978.94
  6. Step 6: Final answer
    x = 2,394.93

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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.