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Finding the Fourth Proportional to 5,597.76, 7,724.80 and 3,829.32

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Solution

The fourth proportional to 5,597.76, 7,724.80 and 3,829.32 is: 5,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.76 : 7,724.80 = 3,829.32 : x
  2. Step 2: Convert to fraction form
    5,597.76/7,724.80 = 3,829.32/x
  3. Step 3: Cross multiply
    5,597.76x = 7,724.80 × 3,829.32
  4. Step 4: Simplify right side
    5,597.76x = 29,580,731.14
  5. Step 5: Solve for x
    x = 29,580,731.14/5,597.76
  6. Step 6: Final answer
    x = 5,284.39

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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.