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Finding the Fourth Proportional to 3,605.87, 5,405.82 and 1,527.50

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Solution

The fourth proportional to 3,605.87, 5,405.82 and 1,527.50 is: 2,289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.87 : 5,405.82 = 1,527.50 : x
  2. Step 2: Convert to fraction form
    3,605.87/5,405.82 = 1,527.50/x
  3. Step 3: Cross multiply
    3,605.87x = 5,405.82 × 1,527.50
  4. Step 4: Simplify right side
    3,605.87x = 8,257,397.84
  5. Step 5: Solve for x
    x = 8,257,397.84/3,605.87
  6. Step 6: Final answer
    x = 2,289.99

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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.