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Finding the Fourth Proportional to 4,689.72, 6,468.98 and 3,096.38

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Solution

The fourth proportional to 4,689.72, 6,468.98 and 3,096.38 is: 4,271.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.72 : 6,468.98 = 3,096.38 : x
  2. Step 2: Convert to fraction form
    4,689.72/6,468.98 = 3,096.38/x
  3. Step 3: Cross multiply
    4,689.72x = 6,468.98 × 3,096.38
  4. Step 4: Simplify right side
    4,689.72x = 20,030,420.29
  5. Step 5: Solve for x
    x = 20,030,420.29/4,689.72
  6. Step 6: Final answer
    x = 4,271.13

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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.