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Finding the Fourth Proportional to 5,137.35, 7,706.03 and 3,582.15

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Solution

The fourth proportional to 5,137.35, 7,706.03 and 3,582.15 is: 5,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.35 : 7,706.03 = 3,582.15 : x
  2. Step 2: Convert to fraction form
    5,137.35/7,706.03 = 3,582.15/x
  3. Step 3: Cross multiply
    5,137.35x = 7,706.03 × 3,582.15
  4. Step 4: Simplify right side
    5,137.35x = 27,604,137.45
  5. Step 5: Solve for x
    x = 27,604,137.45/5,137.35
  6. Step 6: Final answer
    x = 5,373.23

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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.