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Finding the Fourth Proportional to 3,602.81, 5,406.35 and 1,522.70

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Solution

The fourth proportional to 3,602.81, 5,406.35 and 1,522.70 is: 2,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.81 : 5,406.35 = 1,522.70 : x
  2. Step 2: Convert to fraction form
    3,602.81/5,406.35 = 1,522.70/x
  3. Step 3: Cross multiply
    3,602.81x = 5,406.35 × 1,522.70
  4. Step 4: Simplify right side
    3,602.81x = 8,232,234.77
  5. Step 5: Solve for x
    x = 8,232,234.77/3,602.81
  6. Step 6: Final answer
    x = 2,284.95

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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.