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Finding the Fourth Proportional to 4,887.68, 6,746.10 and 4,100.36

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Solution

The fourth proportional to 4,887.68, 6,746.10 and 4,100.36 is: 5,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.68 : 6,746.10 = 4,100.36 : x
  2. Step 2: Convert to fraction form
    4,887.68/6,746.10 = 4,100.36/x
  3. Step 3: Cross multiply
    4,887.68x = 6,746.10 × 4,100.36
  4. Step 4: Simplify right side
    4,887.68x = 27,661,438.60
  5. Step 5: Solve for x
    x = 27,661,438.60/4,887.68
  6. Step 6: Final answer
    x = 5,659.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.