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Finding the Fourth Proportional to 5,985.22, 8,977.82 and 1,602.56

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Solution

The fourth proportional to 5,985.22, 8,977.82 and 1,602.56 is: 2,403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.22 : 8,977.82 = 1,602.56 : x
  2. Step 2: Convert to fraction form
    5,985.22/8,977.82 = 1,602.56/x
  3. Step 3: Cross multiply
    5,985.22x = 8,977.82 × 1,602.56
  4. Step 4: Simplify right side
    5,985.22x = 14,387,487.21
  5. Step 5: Solve for x
    x = 14,387,487.21/5,985.22
  6. Step 6: Final answer
    x = 2,403.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.