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Finding the Fourth Proportional to 3,527.62, 5,292.14 and 1,773.77

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Solution

The fourth proportional to 3,527.62, 5,292.14 and 1,773.77 is: 2,661.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.62 : 5,292.14 = 1,773.77 : x
  2. Step 2: Convert to fraction form
    3,527.62/5,292.14 = 1,773.77/x
  3. Step 3: Cross multiply
    3,527.62x = 5,292.14 × 1,773.77
  4. Step 4: Simplify right side
    3,527.62x = 9,387,003.84
  5. Step 5: Solve for x
    x = 9,387,003.84/3,527.62
  6. Step 6: Final answer
    x = 2,661.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.