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Finding the Fourth Proportional to 6,510.29, 8,984.30 and 3,678.44

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Solution

The fourth proportional to 6,510.29, 8,984.30 and 3,678.44 is: 5,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.29 : 8,984.30 = 3,678.44 : x
  2. Step 2: Convert to fraction form
    6,510.29/8,984.30 = 3,678.44/x
  3. Step 3: Cross multiply
    6,510.29x = 8,984.30 × 3,678.44
  4. Step 4: Simplify right side
    6,510.29x = 33,048,145.18
  5. Step 5: Solve for x
    x = 33,048,145.18/6,510.29
  6. Step 6: Final answer
    x = 5,076.30

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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.