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Finding the Fourth Proportional to 3,588.80, 5,354.85 and 3,102.80

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Solution

The fourth proportional to 3,588.80, 5,354.85 and 3,102.80 is: 4,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.80 : 5,354.85 = 3,102.80 : x
  2. Step 2: Convert to fraction form
    3,588.80/5,354.85 = 3,102.80/x
  3. Step 3: Cross multiply
    3,588.80x = 5,354.85 × 3,102.80
  4. Step 4: Simplify right side
    3,588.80x = 16,615,013.07
  5. Step 5: Solve for x
    x = 16,615,013.07/3,588.80
  6. Step 6: Final answer
    x = 4,629.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.