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Finding the Fourth Proportional to 4,686.68, 7,029.48 and 1,910.54

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Solution

The fourth proportional to 4,686.68, 7,029.48 and 1,910.54 is: 2,865.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.68 : 7,029.48 = 1,910.54 : x
  2. Step 2: Convert to fraction form
    4,686.68/7,029.48 = 1,910.54/x
  3. Step 3: Cross multiply
    4,686.68x = 7,029.48 × 1,910.54
  4. Step 4: Simplify right side
    4,686.68x = 13,430,102.72
  5. Step 5: Solve for x
    x = 13,430,102.72/4,686.68
  6. Step 6: Final answer
    x = 2,865.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.