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Finding the Fourth Proportional to 4,309.57, 6,458.95 and 2,335.20

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Solution

The fourth proportional to 4,309.57, 6,458.95 and 2,335.20 is: 3,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.57 : 6,458.95 = 2,335.20 : x
  2. Step 2: Convert to fraction form
    4,309.57/6,458.95 = 2,335.20/x
  3. Step 3: Cross multiply
    4,309.57x = 6,458.95 × 2,335.20
  4. Step 4: Simplify right side
    4,309.57x = 15,082,918.74
  5. Step 5: Solve for x
    x = 15,082,918.74/4,309.57
  6. Step 6: Final answer
    x = 3,499.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.