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Finding the Fourth Proportional to 3,602.04, 5,404.38 and 1,522.56

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Solution

The fourth proportional to 3,602.04, 5,404.38 and 1,522.56 is: 2,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.04 : 5,404.38 = 1,522.56 : x
  2. Step 2: Convert to fraction form
    3,602.04/5,404.38 = 1,522.56/x
  3. Step 3: Cross multiply
    3,602.04x = 5,404.38 × 1,522.56
  4. Step 4: Simplify right side
    3,602.04x = 8,228,492.81
  5. Step 5: Solve for x
    x = 8,228,492.81/3,602.04
  6. Step 6: Final answer
    x = 2,284.40

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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.