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Finding the Fourth Proportional to 3,615.29, 5,419.64 and 1,423.50

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Solution

The fourth proportional to 3,615.29, 5,419.64 and 1,423.50 is: 2,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.29 : 5,419.64 = 1,423.50 : x
  2. Step 2: Convert to fraction form
    3,615.29/5,419.64 = 1,423.50/x
  3. Step 3: Cross multiply
    3,615.29x = 5,419.64 × 1,423.50
  4. Step 4: Simplify right side
    3,615.29x = 7,714,850.42
  5. Step 5: Solve for x
    x = 7,714,850.42/3,615.29
  6. Step 6: Final answer
    x = 2,133.95

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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.