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Finding the Fourth Proportional to 5,213.16, 7,810.52 and 4,330.50

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Solution

The fourth proportional to 5,213.16, 7,810.52 and 4,330.50 is: 6,488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.16 : 7,810.52 = 4,330.50 : x
  2. Step 2: Convert to fraction form
    5,213.16/7,810.52 = 4,330.50/x
  3. Step 3: Cross multiply
    5,213.16x = 7,810.52 × 4,330.50
  4. Step 4: Simplify right side
    5,213.16x = 33,823,435.21
  5. Step 5: Solve for x
    x = 33,823,435.21/5,213.16
  6. Step 6: Final answer
    x = 6,488.09

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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.