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Finding the Fourth Proportional to 5,701.60, 8,552.40 and 1,806.40

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Solution

The fourth proportional to 5,701.60, 8,552.40 and 1,806.40 is: 2,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.60 : 8,552.40 = 1,806.40 : x
  2. Step 2: Convert to fraction form
    5,701.60/8,552.40 = 1,806.40/x
  3. Step 3: Cross multiply
    5,701.60x = 8,552.40 × 1,806.40
  4. Step 4: Simplify right side
    5,701.60x = 15,449,055.36
  5. Step 5: Solve for x
    x = 15,449,055.36/5,701.60
  6. Step 6: Final answer
    x = 2,709.60

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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.