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Finding the Fourth Proportional to 5,302.98, 7,954.47 and 3,582.54

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Solution

The fourth proportional to 5,302.98, 7,954.47 and 3,582.54 is: 5,373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.98 : 7,954.47 = 3,582.54 : x
  2. Step 2: Convert to fraction form
    5,302.98/7,954.47 = 3,582.54/x
  3. Step 3: Cross multiply
    5,302.98x = 7,954.47 × 3,582.54
  4. Step 4: Simplify right side
    5,302.98x = 28,497,206.95
  5. Step 5: Solve for x
    x = 28,497,206.95/5,302.98
  6. Step 6: Final answer
    x = 5,373.81

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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.