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Finding the Fourth Proportional to 5,703.52, 8,559.60 and 2,783.68

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Solution

The fourth proportional to 5,703.52, 8,559.60 and 2,783.68 is: 4,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.52 : 8,559.60 = 2,783.68 : x
  2. Step 2: Convert to fraction form
    5,703.52/8,559.60 = 2,783.68/x
  3. Step 3: Cross multiply
    5,703.52x = 8,559.60 × 2,783.68
  4. Step 4: Simplify right side
    5,703.52x = 23,827,187.33
  5. Step 5: Solve for x
    x = 23,827,187.33/5,703.52
  6. Step 6: Final answer
    x = 4,177.63

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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.