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Finding the Fourth Proportional to 4,656.66, 6,978.42 and 2,577.60

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Solution

The fourth proportional to 4,656.66, 6,978.42 and 2,577.60 is: 3,862.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.66 : 6,978.42 = 2,577.60 : x
  2. Step 2: Convert to fraction form
    4,656.66/6,978.42 = 2,577.60/x
  3. Step 3: Cross multiply
    4,656.66x = 6,978.42 × 2,577.60
  4. Step 4: Simplify right side
    4,656.66x = 17,987,575.39
  5. Step 5: Solve for x
    x = 17,987,575.39/4,656.66
  6. Step 6: Final answer
    x = 3,862.76

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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.