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Finding the Fourth Proportional to 3,762, 5,643.02 and 1,026

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Solution

The fourth proportional to 3,762, 5,643.02 and 1,026 is: 1,539.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762 : 5,643.02 = 1,026 : x
  2. Step 2: Convert to fraction form
    3,762/5,643.02 = 1,026/x
  3. Step 3: Cross multiply
    3,762x = 5,643.02 × 1,026
  4. Step 4: Simplify right side
    3,762x = 5,789,738.52
  5. Step 5: Solve for x
    x = 5,789,738.52/3,762
  6. Step 6: Final answer
    x = 1,539.01

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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.