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Finding the Fourth Proportional to 4,598.29, 6,346.25 and 3,422.71

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Solution

The fourth proportional to 4,598.29, 6,346.25 and 3,422.71 is: 4,723.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.29 : 6,346.25 = 3,422.71 : x
  2. Step 2: Convert to fraction form
    4,598.29/6,346.25 = 3,422.71/x
  3. Step 3: Cross multiply
    4,598.29x = 6,346.25 × 3,422.71
  4. Step 4: Simplify right side
    4,598.29x = 21,721,373.34
  5. Step 5: Solve for x
    x = 21,721,373.34/4,598.29
  6. Step 6: Final answer
    x = 4,723.79

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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.