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Finding the Fourth Proportional to 5,602.41, 8,405.78 and 2,522.25

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Solution

The fourth proportional to 5,602.41, 8,405.78 and 2,522.25 is: 3,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.41 : 8,405.78 = 2,522.25 : x
  2. Step 2: Convert to fraction form
    5,602.41/8,405.78 = 2,522.25/x
  3. Step 3: Cross multiply
    5,602.41x = 8,405.78 × 2,522.25
  4. Step 4: Simplify right side
    5,602.41x = 21,201,465.99
  5. Step 5: Solve for x
    x = 21,201,465.99/5,602.41
  6. Step 6: Final answer
    x = 3,784.35

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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.