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Finding the Fourth Proportional to 5,104.64, 7,657.68 and 1,816.76

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Solution

The fourth proportional to 5,104.64, 7,657.68 and 1,816.76 is: 2,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.64 : 7,657.68 = 1,816.76 : x
  2. Step 2: Convert to fraction form
    5,104.64/7,657.68 = 1,816.76/x
  3. Step 3: Cross multiply
    5,104.64x = 7,657.68 × 1,816.76
  4. Step 4: Simplify right side
    5,104.64x = 13,912,166.72
  5. Step 5: Solve for x
    x = 13,912,166.72/5,104.64
  6. Step 6: Final answer
    x = 2,725.40

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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.