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Finding the Fourth Proportional to 3,852.12, 5,776.56 and 1,542

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Solution

The fourth proportional to 3,852.12, 5,776.56 and 1,542 is: 2,312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.12 : 5,776.56 = 1,542 : x
  2. Step 2: Convert to fraction form
    3,852.12/5,776.56 = 1,542/x
  3. Step 3: Cross multiply
    3,852.12x = 5,776.56 × 1,542
  4. Step 4: Simplify right side
    3,852.12x = 8,907,455.52
  5. Step 5: Solve for x
    x = 8,907,455.52/3,852.12
  6. Step 6: Final answer
    x = 2,312.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.