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Finding the Fourth Proportional to 3,527.17, 5,290.73 and 1,578

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Solution

The fourth proportional to 3,527.17, 5,290.73 and 1,578 is: 2,366.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.17 : 5,290.73 = 1,578 : x
  2. Step 2: Convert to fraction form
    3,527.17/5,290.73 = 1,578/x
  3. Step 3: Cross multiply
    3,527.17x = 5,290.73 × 1,578
  4. Step 4: Simplify right side
    3,527.17x = 8,348,771.94
  5. Step 5: Solve for x
    x = 8,348,771.94/3,527.17
  6. Step 6: Final answer
    x = 2,366.99

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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.