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Finding the Fourth Proportional to 5,985.99, 8,978.16 and 2,037.24

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Solution

The fourth proportional to 5,985.99, 8,978.16 and 2,037.24 is: 3,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.99 : 8,978.16 = 2,037.24 : x
  2. Step 2: Convert to fraction form
    5,985.99/8,978.16 = 2,037.24/x
  3. Step 3: Cross multiply
    5,985.99x = 8,978.16 × 2,037.24
  4. Step 4: Simplify right side
    5,985.99x = 18,290,666.68
  5. Step 5: Solve for x
    x = 18,290,666.68/5,985.99
  6. Step 6: Final answer
    x = 3,055.58

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Why These Related Problems?

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