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Finding the Fourth Proportional to 4,663.14, 6,435.03 and 2,538.63

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Solution

The fourth proportional to 4,663.14, 6,435.03 and 2,538.63 is: 3,503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.14 : 6,435.03 = 2,538.63 : x
  2. Step 2: Convert to fraction form
    4,663.14/6,435.03 = 2,538.63/x
  3. Step 3: Cross multiply
    4,663.14x = 6,435.03 × 2,538.63
  4. Step 4: Simplify right side
    4,663.14x = 16,336,160.21
  5. Step 5: Solve for x
    x = 16,336,160.21/4,663.14
  6. Step 6: Final answer
    x = 3,503.25

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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.