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Finding the Fourth Proportional to 4,810.50, 7,214.64 and 1,522.98

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Solution

The fourth proportional to 4,810.50, 7,214.64 and 1,522.98 is: 2,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.50 : 7,214.64 = 1,522.98 : x
  2. Step 2: Convert to fraction form
    4,810.50/7,214.64 = 1,522.98/x
  3. Step 3: Cross multiply
    4,810.50x = 7,214.64 × 1,522.98
  4. Step 4: Simplify right side
    4,810.50x = 10,987,752.43
  5. Step 5: Solve for x
    x = 10,987,752.43/4,810.50
  6. Step 6: Final answer
    x = 2,284.12

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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.