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Finding the Fourth Proportional to 4,995, 7,492.64 and 1,532.25

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Solution

The fourth proportional to 4,995, 7,492.64 and 1,532.25 is: 2,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995 : 7,492.64 = 1,532.25 : x
  2. Step 2: Convert to fraction form
    4,995/7,492.64 = 1,532.25/x
  3. Step 3: Cross multiply
    4,995x = 7,492.64 × 1,532.25
  4. Step 4: Simplify right side
    4,995x = 11,480,589.98
  5. Step 5: Solve for x
    x = 11,480,589.98/4,995
  6. Step 6: Final answer
    x = 2,298.42

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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.