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Finding the Fourth Proportional to 5,298.36, 7,946.94 and 1,349.60

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Solution

The fourth proportional to 5,298.36, 7,946.94 and 1,349.60 is: 2,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.36 : 7,946.94 = 1,349.60 : x
  2. Step 2: Convert to fraction form
    5,298.36/7,946.94 = 1,349.60/x
  3. Step 3: Cross multiply
    5,298.36x = 7,946.94 × 1,349.60
  4. Step 4: Simplify right side
    5,298.36x = 10,725,190.22
  5. Step 5: Solve for x
    x = 10,725,190.22/5,298.36
  6. Step 6: Final answer
    x = 2,024.25

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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.