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Finding the Fourth Proportional to 4,697.38, 7,040.04 and 1,772.20

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Solution

The fourth proportional to 4,697.38, 7,040.04 and 1,772.20 is: 2,656.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.38 : 7,040.04 = 1,772.20 : x
  2. Step 2: Convert to fraction form
    4,697.38/7,040.04 = 1,772.20/x
  3. Step 3: Cross multiply
    4,697.38x = 7,040.04 × 1,772.20
  4. Step 4: Simplify right side
    4,697.38x = 12,476,358.89
  5. Step 5: Solve for x
    x = 12,476,358.89/4,697.38
  6. Step 6: Final answer
    x = 2,656.03

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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.