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Finding the Fourth Proportional to 4,663.78, 6,436.02 and 2,539.30

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Solution

The fourth proportional to 4,663.78, 6,436.02 and 2,539.30 is: 3,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.78 : 6,436.02 = 2,539.30 : x
  2. Step 2: Convert to fraction form
    4,663.78/6,436.02 = 2,539.30/x
  3. Step 3: Cross multiply
    4,663.78x = 6,436.02 × 2,539.30
  4. Step 4: Simplify right side
    4,663.78x = 16,342,985.59
  5. Step 5: Solve for x
    x = 16,342,985.59/4,663.78
  6. Step 6: Final answer
    x = 3,504.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.