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Finding the Fourth Proportional to 5,145.60, 7,099.20 and 3,283.68

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Solution

The fourth proportional to 5,145.60, 7,099.20 and 3,283.68 is: 4,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.60 : 7,099.20 = 3,283.68 : x
  2. Step 2: Convert to fraction form
    5,145.60/7,099.20 = 3,283.68/x
  3. Step 3: Cross multiply
    5,145.60x = 7,099.20 × 3,283.68
  4. Step 4: Simplify right side
    5,145.60x = 23,311,501.06
  5. Step 5: Solve for x
    x = 23,311,501.06/5,145.60
  6. Step 6: Final answer
    x = 4,530.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.