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Finding the Fourth Proportional to 5,673.24, 8,503.65 and 4,849.00

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Solution

The fourth proportional to 5,673.24, 8,503.65 and 4,849.00 is: 7,268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.24 : 8,503.65 = 4,849.00 : x
  2. Step 2: Convert to fraction form
    5,673.24/8,503.65 = 4,849.00/x
  3. Step 3: Cross multiply
    5,673.24x = 8,503.65 × 4,849.00
  4. Step 4: Simplify right side
    5,673.24x = 41,234,177.59
  5. Step 5: Solve for x
    x = 41,234,177.59/5,673.24
  6. Step 6: Final answer
    x = 7,268.19

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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.