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Finding the Fourth Proportional to 4,297.47, 5,931.68 and 3,519.87

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Solution

The fourth proportional to 4,297.47, 5,931.68 and 3,519.87 is: 4,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.47 : 5,931.68 = 3,519.87 : x
  2. Step 2: Convert to fraction form
    4,297.47/5,931.68 = 3,519.87/x
  3. Step 3: Cross multiply
    4,297.47x = 5,931.68 × 3,519.87
  4. Step 4: Simplify right side
    4,297.47x = 20,878,724.88
  5. Step 5: Solve for x
    x = 20,878,724.88/4,297.47
  6. Step 6: Final answer
    x = 4,858.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.