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Finding the Fourth Proportional to 3,686.58, 5,094.16 and 2,800.85

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Solution

The fourth proportional to 3,686.58, 5,094.16 and 2,800.85 is: 3,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.58 : 5,094.16 = 2,800.85 : x
  2. Step 2: Convert to fraction form
    3,686.58/5,094.16 = 2,800.85/x
  3. Step 3: Cross multiply
    3,686.58x = 5,094.16 × 2,800.85
  4. Step 4: Simplify right side
    3,686.58x = 14,267,945.56
  5. Step 5: Solve for x
    x = 14,267,945.56/3,686.58
  6. Step 6: Final answer
    x = 3,870.24

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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.