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Finding the Fourth Proportional to 6,431.86, 8,875.44 and 3,599.09

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Solution

The fourth proportional to 6,431.86, 8,875.44 and 3,599.09 is: 4,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.86 : 8,875.44 = 3,599.09 : x
  2. Step 2: Convert to fraction form
    6,431.86/8,875.44 = 3,599.09/x
  3. Step 3: Cross multiply
    6,431.86x = 8,875.44 × 3,599.09
  4. Step 4: Simplify right side
    6,431.86x = 31,943,496.26
  5. Step 5: Solve for x
    x = 31,943,496.26/6,431.86
  6. Step 6: Final answer
    x = 4,966.45

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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.