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Finding the Fourth Proportional to 5,852.72, 8,074.64 and 3,462.16

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Solution

The fourth proportional to 5,852.72, 8,074.64 and 3,462.16 is: 4,776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.72 : 8,074.64 = 3,462.16 : x
  2. Step 2: Convert to fraction form
    5,852.72/8,074.64 = 3,462.16/x
  3. Step 3: Cross multiply
    5,852.72x = 8,074.64 × 3,462.16
  4. Step 4: Simplify right side
    5,852.72x = 27,955,695.62
  5. Step 5: Solve for x
    x = 27,955,695.62/5,852.72
  6. Step 6: Final answer
    x = 4,776.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.