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Finding the Fourth Proportional to 4,366.48, 6,024 and 2,597.44

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Solution

The fourth proportional to 4,366.48, 6,024 and 2,597.44 is: 3,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,366.48 : 6,024 = 2,597.44 : x
  2. Step 2: Convert to fraction form
    4,366.48/6,024 = 2,597.44/x
  3. Step 3: Cross multiply
    4,366.48x = 6,024 × 2,597.44
  4. Step 4: Simplify right side
    4,366.48x = 15,646,978.56
  5. Step 5: Solve for x
    x = 15,646,978.56/4,366.48
  6. Step 6: Final answer
    x = 3,583.43

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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.