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Finding the Fourth Proportional to 4,381.28, 6,564 and 2,404.77

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Solution

The fourth proportional to 4,381.28, 6,564 and 2,404.77 is: 3,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.28 : 6,564 = 2,404.77 : x
  2. Step 2: Convert to fraction form
    4,381.28/6,564 = 2,404.77/x
  3. Step 3: Cross multiply
    4,381.28x = 6,564 × 2,404.77
  4. Step 4: Simplify right side
    4,381.28x = 15,784,910.28
  5. Step 5: Solve for x
    x = 15,784,910.28/4,381.28
  6. Step 6: Final answer
    x = 3,602.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.