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Finding the Fourth Proportional to 3,816.68, 5,254.32 and 3,423.02

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Solution

The fourth proportional to 3,816.68, 5,254.32 and 3,423.02 is: 4,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.68 : 5,254.32 = 3,423.02 : x
  2. Step 2: Convert to fraction form
    3,816.68/5,254.32 = 3,423.02/x
  3. Step 3: Cross multiply
    3,816.68x = 5,254.32 × 3,423.02
  4. Step 4: Simplify right side
    3,816.68x = 17,985,642.45
  5. Step 5: Solve for x
    x = 17,985,642.45/3,816.68
  6. Step 6: Final answer
    x = 4,712.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.