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Finding the Fourth Proportional to 3,125.64, 4,311.81 and 1,866.30

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Solution

The fourth proportional to 3,125.64, 4,311.81 and 1,866.30 is: 2,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.64 : 4,311.81 = 1,866.30 : x
  2. Step 2: Convert to fraction form
    3,125.64/4,311.81 = 1,866.30/x
  3. Step 3: Cross multiply
    3,125.64x = 4,311.81 × 1,866.30
  4. Step 4: Simplify right side
    3,125.64x = 8,047,131.00
  5. Step 5: Solve for x
    x = 8,047,131.00/3,125.64
  6. Step 6: Final answer
    x = 2,574.55

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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.