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Finding the Fourth Proportional to 5,612.80, 7,746.30 and 3,375.40

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Solution

The fourth proportional to 5,612.80, 7,746.30 and 3,375.40 is: 4,658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.80 : 7,746.30 = 3,375.40 : x
  2. Step 2: Convert to fraction form
    5,612.80/7,746.30 = 3,375.40/x
  3. Step 3: Cross multiply
    5,612.80x = 7,746.30 × 3,375.40
  4. Step 4: Simplify right side
    5,612.80x = 26,146,861.02
  5. Step 5: Solve for x
    x = 26,146,861.02/5,612.80
  6. Step 6: Final answer
    x = 4,658.43

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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.