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Finding the Fourth Proportional to 5,176.68, 7,765.02 and 4,020

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Solution

The fourth proportional to 5,176.68, 7,765.02 and 4,020 is: 6,030

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.68 : 7,765.02 = 4,020 : x
  2. Step 2: Convert to fraction form
    5,176.68/7,765.02 = 4,020/x
  3. Step 3: Cross multiply
    5,176.68x = 7,765.02 × 4,020
  4. Step 4: Simplify right side
    5,176.68x = 31,215,380.40
  5. Step 5: Solve for x
    x = 31,215,380.40/5,176.68
  6. Step 6: Final answer
    x = 6,030

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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.