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Finding the Fourth Proportional to 5,473.60, 8,210.40 and 2,557.60

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Solution

The fourth proportional to 5,473.60, 8,210.40 and 2,557.60 is: 3,836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.60 : 8,210.40 = 2,557.60 : x
  2. Step 2: Convert to fraction form
    5,473.60/8,210.40 = 2,557.60/x
  3. Step 3: Cross multiply
    5,473.60x = 8,210.40 × 2,557.60
  4. Step 4: Simplify right side
    5,473.60x = 20,998,919.04
  5. Step 5: Solve for x
    x = 20,998,919.04/5,473.60
  6. Step 6: Final answer
    x = 3,836.40

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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.