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Finding the Fourth Proportional to 3,522.79, 5,284.01 and 1,182.83

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Solution

The fourth proportional to 3,522.79, 5,284.01 and 1,182.83 is: 1,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.79 : 5,284.01 = 1,182.83 : x
  2. Step 2: Convert to fraction form
    3,522.79/5,284.01 = 1,182.83/x
  3. Step 3: Cross multiply
    3,522.79x = 5,284.01 × 1,182.83
  4. Step 4: Simplify right side
    3,522.79x = 6,250,085.55
  5. Step 5: Solve for x
    x = 6,250,085.55/3,522.79
  6. Step 6: Final answer
    x = 1,774.19

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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.