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Finding the Fourth Proportional to 4,076.48, 6,114 and 1,854.80

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Solution

The fourth proportional to 4,076.48, 6,114 and 1,854.80 is: 2,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.48 : 6,114 = 1,854.80 : x
  2. Step 2: Convert to fraction form
    4,076.48/6,114 = 1,854.80/x
  3. Step 3: Cross multiply
    4,076.48x = 6,114 × 1,854.80
  4. Step 4: Simplify right side
    4,076.48x = 11,340,216.63
  5. Step 5: Solve for x
    x = 11,340,216.63/4,076.48
  6. Step 6: Final answer
    x = 2,781.87

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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.