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Finding the Fourth Proportional to 4,465.72, 6,168.54 and 3,423.16

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Solution

The fourth proportional to 4,465.72, 6,168.54 and 3,423.16 is: 4,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.72 : 6,168.54 = 3,423.16 : x
  2. Step 2: Convert to fraction form
    4,465.72/6,168.54 = 3,423.16/x
  3. Step 3: Cross multiply
    4,465.72x = 6,168.54 × 3,423.16
  4. Step 4: Simplify right side
    4,465.72x = 21,115,899.39
  5. Step 5: Solve for x
    x = 21,115,899.39/4,465.72
  6. Step 6: Final answer
    x = 4,728.44

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