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Finding the Fourth Proportional to 4,597.36, 6,346.56 and 2,830.48

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Solution

The fourth proportional to 4,597.36, 6,346.56 and 2,830.48 is: 3,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.36 : 6,346.56 = 2,830.48 : x
  2. Step 2: Convert to fraction form
    4,597.36/6,346.56 = 2,830.48/x
  3. Step 3: Cross multiply
    4,597.36x = 6,346.56 × 2,830.48
  4. Step 4: Simplify right side
    4,597.36x = 17,963,811.15
  5. Step 5: Solve for x
    x = 17,963,811.15/4,597.36
  6. Step 6: Final answer
    x = 3,907.42

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