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Finding the Fourth Proportional to 3,522.34, 5,284.32 and 1,790.56

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Solution

The fourth proportional to 3,522.34, 5,284.32 and 1,790.56 is: 2,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.34 : 5,284.32 = 1,790.56 : x
  2. Step 2: Convert to fraction form
    3,522.34/5,284.32 = 1,790.56/x
  3. Step 3: Cross multiply
    3,522.34x = 5,284.32 × 1,790.56
  4. Step 4: Simplify right side
    3,522.34x = 9,461,892.02
  5. Step 5: Solve for x
    x = 9,461,892.02/3,522.34
  6. Step 6: Final answer
    x = 2,686.25

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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.