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Finding the Fourth Proportional to 5,577.42, 7,696.98 and 3,059.64

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Solution

The fourth proportional to 5,577.42, 7,696.98 and 3,059.64 is: 4,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.42 : 7,696.98 = 3,059.64 : x
  2. Step 2: Convert to fraction form
    5,577.42/7,696.98 = 3,059.64/x
  3. Step 3: Cross multiply
    5,577.42x = 7,696.98 × 3,059.64
  4. Step 4: Simplify right side
    5,577.42x = 23,549,987.89
  5. Step 5: Solve for x
    x = 23,549,987.89/5,577.42
  6. Step 6: Final answer
    x = 4,222.38

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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.