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Finding the Fourth Proportional to 5,561.76, 8,344.08 and 2,964

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Solution

The fourth proportional to 5,561.76, 8,344.08 and 2,964 is: 4,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.76 : 8,344.08 = 2,964 : x
  2. Step 2: Convert to fraction form
    5,561.76/8,344.08 = 2,964/x
  3. Step 3: Cross multiply
    5,561.76x = 8,344.08 × 2,964
  4. Step 4: Simplify right side
    5,561.76x = 24,731,853.12
  5. Step 5: Solve for x
    x = 24,731,853.12/5,561.76
  6. Step 6: Final answer
    x = 4,446.77

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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.