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Finding the Fourth Proportional to 5,292.99, 7,940.12 and 1,735.02

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Solution

The fourth proportional to 5,292.99, 7,940.12 and 1,735.02 is: 2,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.99 : 7,940.12 = 1,735.02 : x
  2. Step 2: Convert to fraction form
    5,292.99/7,940.12 = 1,735.02/x
  3. Step 3: Cross multiply
    5,292.99x = 7,940.12 × 1,735.02
  4. Step 4: Simplify right side
    5,292.99x = 13,776,258.33
  5. Step 5: Solve for x
    x = 13,776,258.33/5,292.99
  6. Step 6: Final answer
    x = 2,602.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.