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Finding the Fourth Proportional to 3,527.75, 5,290.95 and 1,772.28

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Solution

The fourth proportional to 3,527.75, 5,290.95 and 1,772.28 is: 2,658.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.75 : 5,290.95 = 1,772.28 : x
  2. Step 2: Convert to fraction form
    3,527.75/5,290.95 = 1,772.28/x
  3. Step 3: Cross multiply
    3,527.75x = 5,290.95 × 1,772.28
  4. Step 4: Simplify right side
    3,527.75x = 9,377,055.86
  5. Step 5: Solve for x
    x = 9,377,055.86/3,527.75
  6. Step 6: Final answer
    x = 2,658.08

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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.