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Finding the Fourth Proportional to 4,678.68, 6,460.38 and 3,189.72

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Solution

The fourth proportional to 4,678.68, 6,460.38 and 3,189.72 is: 4,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.68 : 6,460.38 = 3,189.72 : x
  2. Step 2: Convert to fraction form
    4,678.68/6,460.38 = 3,189.72/x
  3. Step 3: Cross multiply
    4,678.68x = 6,460.38 × 3,189.72
  4. Step 4: Simplify right side
    4,678.68x = 20,606,803.29
  5. Step 5: Solve for x
    x = 20,606,803.29/4,678.68
  6. Step 6: Final answer
    x = 4,404.41

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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.