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Finding the Fourth Proportional to 5,985, 8,257.62 and 4,074.12

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Solution

The fourth proportional to 5,985, 8,257.62 and 4,074.12 is: 5,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985 : 8,257.62 = 4,074.12 : x
  2. Step 2: Convert to fraction form
    5,985/8,257.62 = 4,074.12/x
  3. Step 3: Cross multiply
    5,985x = 8,257.62 × 4,074.12
  4. Step 4: Simplify right side
    5,985x = 33,642,534.79
  5. Step 5: Solve for x
    x = 33,642,534.79/5,985
  6. Step 6: Final answer
    x = 5,621.14

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Why These Related Problems?

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