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Finding the Fourth Proportional to 4,599.68, 6,348 and 2,832.32

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Solution

The fourth proportional to 4,599.68, 6,348 and 2,832.32 is: 3,908.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.68 : 6,348 = 2,832.32 : x
  2. Step 2: Convert to fraction form
    4,599.68/6,348 = 2,832.32/x
  3. Step 3: Cross multiply
    4,599.68x = 6,348 × 2,832.32
  4. Step 4: Simplify right side
    4,599.68x = 17,979,567.36
  5. Step 5: Solve for x
    x = 17,979,567.36/4,599.68
  6. Step 6: Final answer
    x = 3,908.87

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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.