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Finding the Fourth Proportional to 3,985.78, 5,978.74 and 1,064.08

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Solution

The fourth proportional to 3,985.78, 5,978.74 and 1,064.08 is: 1,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.78 : 5,978.74 = 1,064.08 : x
  2. Step 2: Convert to fraction form
    3,985.78/5,978.74 = 1,064.08/x
  3. Step 3: Cross multiply
    3,985.78x = 5,978.74 × 1,064.08
  4. Step 4: Simplify right side
    3,985.78x = 6,361,857.66
  5. Step 5: Solve for x
    x = 6,361,857.66/3,985.78
  6. Step 6: Final answer
    x = 1,596.14

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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.