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Finding the Fourth Proportional to 3,588.75, 5,384.94 and 1,641.42

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Solution

The fourth proportional to 3,588.75, 5,384.94 and 1,641.42 is: 2,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.75 : 5,384.94 = 1,641.42 : x
  2. Step 2: Convert to fraction form
    3,588.75/5,384.94 = 1,641.42/x
  3. Step 3: Cross multiply
    3,588.75x = 5,384.94 × 1,641.42
  4. Step 4: Simplify right side
    3,588.75x = 8,838,948.21
  5. Step 5: Solve for x
    x = 8,838,948.21/3,588.75
  6. Step 6: Final answer
    x = 2,462.96

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1.5x scale

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.