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Finding the Fourth Proportional to 4,663.74, 6,998.64 and 4,288.32

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Solution

The fourth proportional to 4,663.74, 6,998.64 and 4,288.32 is: 6,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.74 : 6,998.64 = 4,288.32 : x
  2. Step 2: Convert to fraction form
    4,663.74/6,998.64 = 4,288.32/x
  3. Step 3: Cross multiply
    4,663.74x = 6,998.64 × 4,288.32
  4. Step 4: Simplify right side
    4,663.74x = 30,012,407.88
  5. Step 5: Solve for x
    x = 30,012,407.88/4,663.74
  6. Step 6: Final answer
    x = 6,435.27

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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.