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Finding the Fourth Proportional to 5,978.30, 8,966.73 and 1,596.08

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Solution

The fourth proportional to 5,978.30, 8,966.73 and 1,596.08 is: 2,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.30 : 8,966.73 = 1,596.08 : x
  2. Step 2: Convert to fraction form
    5,978.30/8,966.73 = 1,596.08/x
  3. Step 3: Cross multiply
    5,978.30x = 8,966.73 × 1,596.08
  4. Step 4: Simplify right side
    5,978.30x = 14,311,618.42
  5. Step 5: Solve for x
    x = 14,311,618.42/5,978.30
  6. Step 6: Final answer
    x = 2,393.93

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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.