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Finding the Fourth Proportional to 3,871.06, 5,796.87 and 3,053.77

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Solution

The fourth proportional to 3,871.06, 5,796.87 and 3,053.77 is: 4,572.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.06 : 5,796.87 = 3,053.77 : x
  2. Step 2: Convert to fraction form
    3,871.06/5,796.87 = 3,053.77/x
  3. Step 3: Cross multiply
    3,871.06x = 5,796.87 × 3,053.77
  4. Step 4: Simplify right side
    3,871.06x = 17,702,281.76
  5. Step 5: Solve for x
    x = 17,702,281.76/3,871.06
  6. Step 6: Final answer
    x = 4,572.98

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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.