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Finding the Fourth Proportional to 4,666, 6,439.08 and 2,570.17

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Solution

The fourth proportional to 4,666, 6,439.08 and 2,570.17 is: 3,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666 : 6,439.08 = 2,570.17 : x
  2. Step 2: Convert to fraction form
    4,666/6,439.08 = 2,570.17/x
  3. Step 3: Cross multiply
    4,666x = 6,439.08 × 2,570.17
  4. Step 4: Simplify right side
    4,666x = 16,549,530.24
  5. Step 5: Solve for x
    x = 16,549,530.24/4,666
  6. Step 6: Final answer
    x = 3,546.83

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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.