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Finding the Fourth Proportional to 4,702.41, 6,489.29 and 2,577.93

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Solution

The fourth proportional to 4,702.41, 6,489.29 and 2,577.93 is: 3,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.41 : 6,489.29 = 2,577.93 : x
  2. Step 2: Convert to fraction form
    4,702.41/6,489.29 = 2,577.93/x
  3. Step 3: Cross multiply
    4,702.41x = 6,489.29 × 2,577.93
  4. Step 4: Simplify right side
    4,702.41x = 16,728,890.03
  5. Step 5: Solve for x
    x = 16,728,890.03/4,702.41
  6. Step 6: Final answer
    x = 3,557.52

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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.