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Finding the Fourth Proportional to 4,597.12, 6,346.16 and 3,478.24

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Solution

The fourth proportional to 4,597.12, 6,346.16 and 3,478.24 is: 4,801.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.12 : 6,346.16 = 3,478.24 : x
  2. Step 2: Convert to fraction form
    4,597.12/6,346.16 = 3,478.24/x
  3. Step 3: Cross multiply
    4,597.12x = 6,346.16 × 3,478.24
  4. Step 4: Simplify right side
    4,597.12x = 22,073,467.56
  5. Step 5: Solve for x
    x = 22,073,467.56/4,597.12
  6. Step 6: Final answer
    x = 4,801.59

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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.