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Finding the Fourth Proportional to 3,707.48, 5,556.40 and 3,315.20

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Solution

The fourth proportional to 3,707.48, 5,556.40 and 3,315.20 is: 4,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.48 : 5,556.40 = 3,315.20 : x
  2. Step 2: Convert to fraction form
    3,707.48/5,556.40 = 3,315.20/x
  3. Step 3: Cross multiply
    3,707.48x = 5,556.40 × 3,315.20
  4. Step 4: Simplify right side
    3,707.48x = 18,420,577.28
  5. Step 5: Solve for x
    x = 18,420,577.28/3,707.48
  6. Step 6: Final answer
    x = 4,968.49

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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.