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Finding the Fourth Proportional to 5,985.90, 8,977.68 and 2,287.24

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Solution

The fourth proportional to 5,985.90, 8,977.68 and 2,287.24 is: 3,430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.90 : 8,977.68 = 2,287.24 : x
  2. Step 2: Convert to fraction form
    5,985.90/8,977.68 = 2,287.24/x
  3. Step 3: Cross multiply
    5,985.90x = 8,977.68 × 2,287.24
  4. Step 4: Simplify right side
    5,985.90x = 20,534,108.80
  5. Step 5: Solve for x
    x = 20,534,108.80/5,985.90
  6. Step 6: Final answer
    x = 3,430.41

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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.