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Finding the Fourth Proportional to 3,526.93, 5,290.40 and 1,446.55

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Solution

The fourth proportional to 3,526.93, 5,290.40 and 1,446.55 is: 2,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.93 : 5,290.40 = 1,446.55 : x
  2. Step 2: Convert to fraction form
    3,526.93/5,290.40 = 1,446.55/x
  3. Step 3: Cross multiply
    3,526.93x = 5,290.40 × 1,446.55
  4. Step 4: Simplify right side
    3,526.93x = 7,652,828.12
  5. Step 5: Solve for x
    x = 7,652,828.12/3,526.93
  6. Step 6: Final answer
    x = 2,169.83

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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.