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Finding the Fourth Proportional to 3,830.04, 5,719.17 and 3,358.02

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Solution

The fourth proportional to 3,830.04, 5,719.17 and 3,358.02 is: 5,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.04 : 5,719.17 = 3,358.02 : x
  2. Step 2: Convert to fraction form
    3,830.04/5,719.17 = 3,358.02/x
  3. Step 3: Cross multiply
    3,830.04x = 5,719.17 × 3,358.02
  4. Step 4: Simplify right side
    3,830.04x = 19,205,087.24
  5. Step 5: Solve for x
    x = 19,205,087.24/3,830.04
  6. Step 6: Final answer
    x = 5,014.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.