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Finding the Fourth Proportional to 5,780.84, 8,666 and 3,004.26

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Solution

The fourth proportional to 5,780.84, 8,666 and 3,004.26 is: 4,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.84 : 8,666 = 3,004.26 : x
  2. Step 2: Convert to fraction form
    5,780.84/8,666 = 3,004.26/x
  3. Step 3: Cross multiply
    5,780.84x = 8,666 × 3,004.26
  4. Step 4: Simplify right side
    5,780.84x = 26,034,917.16
  5. Step 5: Solve for x
    x = 26,034,917.16/5,780.84
  6. Step 6: Final answer
    x = 4,503.66

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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.