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Finding the Fourth Proportional to 3,602.19, 5,401.98 and 1,522.35

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Solution

The fourth proportional to 3,602.19, 5,401.98 and 1,522.35 is: 2,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.19 : 5,401.98 = 1,522.35 : x
  2. Step 2: Convert to fraction form
    3,602.19/5,401.98 = 1,522.35/x
  3. Step 3: Cross multiply
    3,602.19x = 5,401.98 × 1,522.35
  4. Step 4: Simplify right side
    3,602.19x = 8,223,711.01
  5. Step 5: Solve for x
    x = 8,223,711.01/3,602.19
  6. Step 6: Final answer
    x = 2,282.98

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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.