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Finding the Fourth Proportional to 4,878.63, 7,317.97 and 1,180.86

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Solution

The fourth proportional to 4,878.63, 7,317.97 and 1,180.86 is: 1,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.63 : 7,317.97 = 1,180.86 : x
  2. Step 2: Convert to fraction form
    4,878.63/7,317.97 = 1,180.86/x
  3. Step 3: Cross multiply
    4,878.63x = 7,317.97 × 1,180.86
  4. Step 4: Simplify right side
    4,878.63x = 8,641,483.59
  5. Step 5: Solve for x
    x = 8,641,483.59/4,878.63
  6. Step 6: Final answer
    x = 1,771.29

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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.