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Finding the Fourth Proportional to 4,666.40, 6,439.68 and 2,898.80

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Solution

The fourth proportional to 4,666.40, 6,439.68 and 2,898.80 is: 4,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.40 : 6,439.68 = 2,898.80 : x
  2. Step 2: Convert to fraction form
    4,666.40/6,439.68 = 2,898.80/x
  3. Step 3: Cross multiply
    4,666.40x = 6,439.68 × 2,898.80
  4. Step 4: Simplify right side
    4,666.40x = 18,667,344.38
  5. Step 5: Solve for x
    x = 18,667,344.38/4,666.40
  6. Step 6: Final answer
    x = 4,000.37

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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.