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Finding the Fourth Proportional to 4,651.61, 6,966.48 and 3,671.15

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Solution

The fourth proportional to 4,651.61, 6,966.48 and 3,671.15 is: 5,498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.61 : 6,966.48 = 3,671.15 : x
  2. Step 2: Convert to fraction form
    4,651.61/6,966.48 = 3,671.15/x
  3. Step 3: Cross multiply
    4,651.61x = 6,966.48 × 3,671.15
  4. Step 4: Simplify right side
    4,651.61x = 25,574,993.05
  5. Step 5: Solve for x
    x = 25,574,993.05/4,651.61
  6. Step 6: Final answer
    x = 5,498.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.