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Finding the Fourth Proportional to 5,975.84, 8,959.08 and 3,779.96

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Solution

The fourth proportional to 5,975.84, 8,959.08 and 3,779.96 is: 5,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.84 : 8,959.08 = 3,779.96 : x
  2. Step 2: Convert to fraction form
    5,975.84/8,959.08 = 3,779.96/x
  3. Step 3: Cross multiply
    5,975.84x = 8,959.08 × 3,779.96
  4. Step 4: Simplify right side
    5,975.84x = 33,864,964.04
  5. Step 5: Solve for x
    x = 33,864,964.04/5,975.84
  6. Step 6: Final answer
    x = 5,666.98

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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.