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Finding the Fourth Proportional to 4,061.34, 5,604.57 and 2,664

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Solution

The fourth proportional to 4,061.34, 5,604.57 and 2,664 is: 3,676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.34 : 5,604.57 = 2,664 : x
  2. Step 2: Convert to fraction form
    4,061.34/5,604.57 = 2,664/x
  3. Step 3: Cross multiply
    4,061.34x = 5,604.57 × 2,664
  4. Step 4: Simplify right side
    4,061.34x = 14,930,574.48
  5. Step 5: Solve for x
    x = 14,930,574.48/4,061.34
  6. Step 6: Final answer
    x = 3,676.27

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