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Finding the Fourth Proportional to 4,686.76, 7,027.48 and 2,053.20

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Solution

The fourth proportional to 4,686.76, 7,027.48 and 2,053.20 is: 3,078.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.76 : 7,027.48 = 2,053.20 : x
  2. Step 2: Convert to fraction form
    4,686.76/7,027.48 = 2,053.20/x
  3. Step 3: Cross multiply
    4,686.76x = 7,027.48 × 2,053.20
  4. Step 4: Simplify right side
    4,686.76x = 14,428,821.94
  5. Step 5: Solve for x
    x = 14,428,821.94/4,686.76
  6. Step 6: Final answer
    x = 3,078.63

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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.