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Finding the Fourth Proportional to 3,503.05, 5,252.65 and 1,527.86

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Solution

The fourth proportional to 3,503.05, 5,252.65 and 1,527.86 is: 2,290.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.05 : 5,252.65 = 1,527.86 : x
  2. Step 2: Convert to fraction form
    3,503.05/5,252.65 = 1,527.86/x
  3. Step 3: Cross multiply
    3,503.05x = 5,252.65 × 1,527.86
  4. Step 4: Simplify right side
    3,503.05x = 8,025,323.14
  5. Step 5: Solve for x
    x = 8,025,323.14/3,503.05
  6. Step 6: Final answer
    x = 2,290.95

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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.