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Finding the Fourth Proportional to 5,977.60, 8,256.96 and 4,577.92

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Solution

The fourth proportional to 5,977.60, 8,256.96 and 4,577.92 is: 6,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.60 : 8,256.96 = 4,577.92 : x
  2. Step 2: Convert to fraction form
    5,977.60/8,256.96 = 4,577.92/x
  3. Step 3: Cross multiply
    5,977.60x = 8,256.96 × 4,577.92
  4. Step 4: Simplify right side
    5,977.60x = 37,799,702.32
  5. Step 5: Solve for x
    x = 37,799,702.32/5,977.60
  6. Step 6: Final answer
    x = 6,323.56

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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.