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Finding the Fourth Proportional to 4,663, 6,435 and 2,567.18

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Solution

The fourth proportional to 4,663, 6,435 and 2,567.18 is: 3,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663 : 6,435 = 2,567.18 : x
  2. Step 2: Convert to fraction form
    4,663/6,435 = 2,567.18/x
  3. Step 3: Cross multiply
    4,663x = 6,435 × 2,567.18
  4. Step 4: Simplify right side
    4,663x = 16,519,803.30
  5. Step 5: Solve for x
    x = 16,519,803.30/4,663
  6. Step 6: Final answer
    x = 3,542.74

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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.