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Finding the Fourth Proportional to 4,671.14, 6,448.81 and 3,101.38

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Solution

The fourth proportional to 4,671.14, 6,448.81 and 3,101.38 is: 4,281.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.14 : 6,448.81 = 3,101.38 : x
  2. Step 2: Convert to fraction form
    4,671.14/6,448.81 = 3,101.38/x
  3. Step 3: Cross multiply
    4,671.14x = 6,448.81 × 3,101.38
  4. Step 4: Simplify right side
    4,671.14x = 20,000,210.36
  5. Step 5: Solve for x
    x = 20,000,210.36/4,671.14
  6. Step 6: Final answer
    x = 4,281.66

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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.