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Finding the Fourth Proportional to 4,047.60, 6,028.85 and 3,858

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Solution

The fourth proportional to 4,047.60, 6,028.85 and 3,858 is: 5,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.60 : 6,028.85 = 3,858 : x
  2. Step 2: Convert to fraction form
    4,047.60/6,028.85 = 3,858/x
  3. Step 3: Cross multiply
    4,047.60x = 6,028.85 × 3,858
  4. Step 4: Simplify right side
    4,047.60x = 23,259,303.30
  5. Step 5: Solve for x
    x = 23,259,303.30/4,047.60
  6. Step 6: Final answer
    x = 5,746.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.