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Finding the Fourth Proportional to 4,064.02, 6,097.49 and 1,597.47

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Solution

The fourth proportional to 4,064.02, 6,097.49 and 1,597.47 is: 2,396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.02 : 6,097.49 = 1,597.47 : x
  2. Step 2: Convert to fraction form
    4,064.02/6,097.49 = 1,597.47/x
  3. Step 3: Cross multiply
    4,064.02x = 6,097.49 × 1,597.47
  4. Step 4: Simplify right side
    4,064.02x = 9,740,557.35
  5. Step 5: Solve for x
    x = 9,740,557.35/4,064.02
  6. Step 6: Final answer
    x = 2,396.78

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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.