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Finding the Fourth Proportional to 4,471.40, 6,702.23 and 1,871.30

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Solution

The fourth proportional to 4,471.40, 6,702.23 and 1,871.30 is: 2,804.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.40 : 6,702.23 = 1,871.30 : x
  2. Step 2: Convert to fraction form
    4,471.40/6,702.23 = 1,871.30/x
  3. Step 3: Cross multiply
    4,471.40x = 6,702.23 × 1,871.30
  4. Step 4: Simplify right side
    4,471.40x = 12,541,854.17
  5. Step 5: Solve for x
    x = 12,541,854.17/4,471.40
  6. Step 6: Final answer
    x = 2,804.91

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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.