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Finding the Fourth Proportional to 4,597.29, 6,340.56 and 3,003.83

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Solution

The fourth proportional to 4,597.29, 6,340.56 and 3,003.83 is: 4,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.29 : 6,340.56 = 3,003.83 : x
  2. Step 2: Convert to fraction form
    4,597.29/6,340.56 = 3,003.83/x
  3. Step 3: Cross multiply
    4,597.29x = 6,340.56 × 3,003.83
  4. Step 4: Simplify right side
    4,597.29x = 19,045,964.34
  5. Step 5: Solve for x
    x = 19,045,964.34/4,597.29
  6. Step 6: Final answer
    x = 4,142.87

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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.