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Finding the Fourth Proportional to 5,358.21, 7,389.39 and 3,676.65

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Solution

The fourth proportional to 5,358.21, 7,389.39 and 3,676.65 is: 5,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.21 : 7,389.39 = 3,676.65 : x
  2. Step 2: Convert to fraction form
    5,358.21/7,389.39 = 3,676.65/x
  3. Step 3: Cross multiply
    5,358.21x = 7,389.39 × 3,676.65
  4. Step 4: Simplify right side
    5,358.21x = 27,168,200.74
  5. Step 5: Solve for x
    x = 27,168,200.74/5,358.21
  6. Step 6: Final answer
    x = 5,070.39

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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.