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Finding the Fourth Proportional to 3,588.48, 4,954.50 and 2,411.64

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Solution

The fourth proportional to 3,588.48, 4,954.50 and 2,411.64 is: 3,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.48 : 4,954.50 = 2,411.64 : x
  2. Step 2: Convert to fraction form
    3,588.48/4,954.50 = 2,411.64/x
  3. Step 3: Cross multiply
    3,588.48x = 4,954.50 × 2,411.64
  4. Step 4: Simplify right side
    3,588.48x = 11,948,470.38
  5. Step 5: Solve for x
    x = 11,948,470.38/3,588.48
  6. Step 6: Final answer
    x = 3,329.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.