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Finding the Fourth Proportional to 5,041, 7,560.64 and 1,530.16

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Solution

The fourth proportional to 5,041, 7,560.64 and 1,530.16 is: 2,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041 : 7,560.64 = 1,530.16 : x
  2. Step 2: Convert to fraction form
    5,041/7,560.64 = 1,530.16/x
  3. Step 3: Cross multiply
    5,041x = 7,560.64 × 1,530.16
  4. Step 4: Simplify right side
    5,041x = 11,568,988.90
  5. Step 5: Solve for x
    x = 11,568,988.90/5,041
  6. Step 6: Final answer
    x = 2,294.98

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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.