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Finding the Fourth Proportional to 6,047.68, 9,052.08 and 4,540

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Solution

The fourth proportional to 6,047.68, 9,052.08 and 4,540 is: 6,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.68 : 9,052.08 = 4,540 : x
  2. Step 2: Convert to fraction form
    6,047.68/9,052.08 = 4,540/x
  3. Step 3: Cross multiply
    6,047.68x = 9,052.08 × 4,540
  4. Step 4: Simplify right side
    6,047.68x = 41,096,443.20
  5. Step 5: Solve for x
    x = 41,096,443.20/6,047.68
  6. Step 6: Final answer
    x = 6,795.41

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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.