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Finding the Fourth Proportional to 3,762.45, 5,645.60 and 1,542.90

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Solution

The fourth proportional to 3,762.45, 5,645.60 and 1,542.90 is: 2,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.45 : 5,645.60 = 1,542.90 : x
  2. Step 2: Convert to fraction form
    3,762.45/5,645.60 = 1,542.90/x
  3. Step 3: Cross multiply
    3,762.45x = 5,645.60 × 1,542.90
  4. Step 4: Simplify right side
    3,762.45x = 8,710,588.53
  5. Step 5: Solve for x
    x = 8,710,588.53/3,762.45
  6. Step 6: Final answer
    x = 2,315.14

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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.