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Finding the Fourth Proportional to 5,205.60, 7,806.24 and 1,742.40

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Solution

The fourth proportional to 5,205.60, 7,806.24 and 1,742.40 is: 2,612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.60 : 7,806.24 = 1,742.40 : x
  2. Step 2: Convert to fraction form
    5,205.60/7,806.24 = 1,742.40/x
  3. Step 3: Cross multiply
    5,205.60x = 7,806.24 × 1,742.40
  4. Step 4: Simplify right side
    5,205.60x = 13,601,592.58
  5. Step 5: Solve for x
    x = 13,601,592.58/5,205.60
  6. Step 6: Final answer
    x = 2,612.88

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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.