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Finding the Fourth Proportional to 4,693.54, 7,041.92 and 1,772.68

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Solution

The fourth proportional to 4,693.54, 7,041.92 and 1,772.68 is: 2,659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.54 : 7,041.92 = 1,772.68 : x
  2. Step 2: Convert to fraction form
    4,693.54/7,041.92 = 1,772.68/x
  3. Step 3: Cross multiply
    4,693.54x = 7,041.92 × 1,772.68
  4. Step 4: Simplify right side
    4,693.54x = 12,483,070.75
  5. Step 5: Solve for x
    x = 12,483,070.75/4,693.54
  6. Step 6: Final answer
    x = 2,659.63

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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.