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Finding the Fourth Proportional to 4,671.33, 6,445.87 and 3,178.77

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Solution

The fourth proportional to 4,671.33, 6,445.87 and 3,178.77 is: 4,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.33 : 6,445.87 = 3,178.77 : x
  2. Step 2: Convert to fraction form
    4,671.33/6,445.87 = 3,178.77/x
  3. Step 3: Cross multiply
    4,671.33x = 6,445.87 × 3,178.77
  4. Step 4: Simplify right side
    4,671.33x = 20,489,938.18
  5. Step 5: Solve for x
    x = 20,489,938.18/4,671.33
  6. Step 6: Final answer
    x = 4,386.32

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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.