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Finding the Fourth Proportional to 5,666.84, 8,501.13 and 2,892

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Solution

The fourth proportional to 5,666.84, 8,501.13 and 2,892 is: 4,338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.84 : 8,501.13 = 2,892 : x
  2. Step 2: Convert to fraction form
    5,666.84/8,501.13 = 2,892/x
  3. Step 3: Cross multiply
    5,666.84x = 8,501.13 × 2,892
  4. Step 4: Simplify right side
    5,666.84x = 24,585,267.96
  5. Step 5: Solve for x
    x = 24,585,267.96/5,666.84
  6. Step 6: Final answer
    x = 4,338.44

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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.