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Finding the Fourth Proportional to 5,562.85, 7,676.40 and 3,044.46

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Solution

The fourth proportional to 5,562.85, 7,676.40 and 3,044.46 is: 4,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.85 : 7,676.40 = 3,044.46 : x
  2. Step 2: Convert to fraction form
    5,562.85/7,676.40 = 3,044.46/x
  3. Step 3: Cross multiply
    5,562.85x = 7,676.40 × 3,044.46
  4. Step 4: Simplify right side
    5,562.85x = 23,370,492.74
  5. Step 5: Solve for x
    x = 23,370,492.74/5,562.85
  6. Step 6: Final answer
    x = 4,201.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.