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Finding the Fourth Proportional to 3,662.16, 5,484 and 2,425.86

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Solution

The fourth proportional to 3,662.16, 5,484 and 2,425.86 is: 3,632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.16 : 5,484 = 2,425.86 : x
  2. Step 2: Convert to fraction form
    3,662.16/5,484 = 2,425.86/x
  3. Step 3: Cross multiply
    3,662.16x = 5,484 × 2,425.86
  4. Step 4: Simplify right side
    3,662.16x = 13,303,416.24
  5. Step 5: Solve for x
    x = 13,303,416.24/3,662.16
  6. Step 6: Final answer
    x = 3,632.67

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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.