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Finding the Fourth Proportional to 4,653.12, 6,421.44 and 2,663.88

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Solution

The fourth proportional to 4,653.12, 6,421.44 and 2,663.88 is: 3,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.12 : 6,421.44 = 2,663.88 : x
  2. Step 2: Convert to fraction form
    4,653.12/6,421.44 = 2,663.88/x
  3. Step 3: Cross multiply
    4,653.12x = 6,421.44 × 2,663.88
  4. Step 4: Simplify right side
    4,653.12x = 17,105,945.59
  5. Step 5: Solve for x
    x = 17,105,945.59/4,653.12
  6. Step 6: Final answer
    x = 3,676.23

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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.