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Finding the Fourth Proportional to 4,671.38, 6,446.64 and 2,575.64

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Solution

The fourth proportional to 4,671.38, 6,446.64 and 2,575.64 is: 3,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.38 : 6,446.64 = 2,575.64 : x
  2. Step 2: Convert to fraction form
    4,671.38/6,446.64 = 2,575.64/x
  3. Step 3: Cross multiply
    4,671.38x = 6,446.64 × 2,575.64
  4. Step 4: Simplify right side
    4,671.38x = 16,604,191.62
  5. Step 5: Solve for x
    x = 16,604,191.62/4,671.38
  6. Step 6: Final answer
    x = 3,554.45

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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.