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Finding the Fourth Proportional to 3,762.49, 5,642.82 and 1,570.03

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Solution

The fourth proportional to 3,762.49, 5,642.82 and 1,570.03 is: 2,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.49 : 5,642.82 = 1,570.03 : x
  2. Step 2: Convert to fraction form
    3,762.49/5,642.82 = 1,570.03/x
  3. Step 3: Cross multiply
    3,762.49x = 5,642.82 × 1,570.03
  4. Step 4: Simplify right side
    3,762.49x = 8,859,396.68
  5. Step 5: Solve for x
    x = 8,859,396.68/3,762.49
  6. Step 6: Final answer
    x = 2,354.66

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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.