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Finding the Fourth Proportional to 4,471.13, 6,702.08 and 2,129.42

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Solution

The fourth proportional to 4,471.13, 6,702.08 and 2,129.42 is: 3,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.13 : 6,702.08 = 2,129.42 : x
  2. Step 2: Convert to fraction form
    4,471.13/6,702.08 = 2,129.42/x
  3. Step 3: Cross multiply
    4,471.13x = 6,702.08 × 2,129.42
  4. Step 4: Simplify right side
    4,471.13x = 14,271,549.30
  5. Step 5: Solve for x
    x = 14,271,549.30/4,471.13
  6. Step 6: Final answer
    x = 3,191.93

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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.