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Finding the Fourth Proportional to 3,901.37, 5,854.77 and 1,710.72

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Solution

The fourth proportional to 3,901.37, 5,854.77 and 1,710.72 is: 2,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.37 : 5,854.77 = 1,710.72 : x
  2. Step 2: Convert to fraction form
    3,901.37/5,854.77 = 1,710.72/x
  3. Step 3: Cross multiply
    3,901.37x = 5,854.77 × 1,710.72
  4. Step 4: Simplify right side
    3,901.37x = 10,015,872.13
  5. Step 5: Solve for x
    x = 10,015,872.13/3,901.37
  6. Step 6: Final answer
    x = 2,567.27

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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.