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Finding the Fourth Proportional to 5,323.36, 7,979.60 and 1,857.76

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Solution

The fourth proportional to 5,323.36, 7,979.60 and 1,857.76 is: 2,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.36 : 7,979.60 = 1,857.76 : x
  2. Step 2: Convert to fraction form
    5,323.36/7,979.60 = 1,857.76/x
  3. Step 3: Cross multiply
    5,323.36x = 7,979.60 × 1,857.76
  4. Step 4: Simplify right side
    5,323.36x = 14,824,181.70
  5. Step 5: Solve for x
    x = 14,824,181.70/5,323.36
  6. Step 6: Final answer
    x = 2,784.74

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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.