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Finding the Fourth Proportional to 3,527.71, 5,288.42 and 1,337.97

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Solution

The fourth proportional to 3,527.71, 5,288.42 and 1,337.97 is: 2,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.71 : 5,288.42 = 1,337.97 : x
  2. Step 2: Convert to fraction form
    3,527.71/5,288.42 = 1,337.97/x
  3. Step 3: Cross multiply
    3,527.71x = 5,288.42 × 1,337.97
  4. Step 4: Simplify right side
    3,527.71x = 7,075,770.48
  5. Step 5: Solve for x
    x = 7,075,770.48/3,527.71
  6. Step 6: Final answer
    x = 2,005.77

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1.5x scale

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.