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Finding the Fourth Proportional to 3,565.77, 5,344.20 and 1,716.54

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Solution

The fourth proportional to 3,565.77, 5,344.20 and 1,716.54 is: 2,572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.77 : 5,344.20 = 1,716.54 : x
  2. Step 2: Convert to fraction form
    3,565.77/5,344.20 = 1,716.54/x
  3. Step 3: Cross multiply
    3,565.77x = 5,344.20 × 1,716.54
  4. Step 4: Simplify right side
    3,565.77x = 9,173,533.07
  5. Step 5: Solve for x
    x = 9,173,533.07/3,565.77
  6. Step 6: Final answer
    x = 2,572.67

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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.