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Finding the Fourth Proportional to 4,229.55, 6,345.44 and 1,597.10

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Solution

The fourth proportional to 4,229.55, 6,345.44 and 1,597.10 is: 2,396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.55 : 6,345.44 = 1,597.10 : x
  2. Step 2: Convert to fraction form
    4,229.55/6,345.44 = 1,597.10/x
  3. Step 3: Cross multiply
    4,229.55x = 6,345.44 × 1,597.10
  4. Step 4: Simplify right side
    4,229.55x = 10,134,262.51
  5. Step 5: Solve for x
    x = 10,134,262.51/4,229.55
  6. Step 6: Final answer
    x = 2,396.06

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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.