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Finding the Fourth Proportional to 4,914.64, 7,369.50 and 1,992.16

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Solution

The fourth proportional to 4,914.64, 7,369.50 and 1,992.16 is: 2,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.64 : 7,369.50 = 1,992.16 : x
  2. Step 2: Convert to fraction form
    4,914.64/7,369.50 = 1,992.16/x
  3. Step 3: Cross multiply
    4,914.64x = 7,369.50 × 1,992.16
  4. Step 4: Simplify right side
    4,914.64x = 14,681,223.12
  5. Step 5: Solve for x
    x = 14,681,223.12/4,914.64
  6. Step 6: Final answer
    x = 2,987.24

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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.