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Finding the Fourth Proportional to 5,985.28, 8,978.64 and 2,037.20

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Solution

The fourth proportional to 5,985.28, 8,978.64 and 2,037.20 is: 3,056.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.28 : 8,978.64 = 2,037.20 : x
  2. Step 2: Convert to fraction form
    5,985.28/8,978.64 = 2,037.20/x
  3. Step 3: Cross multiply
    5,985.28x = 8,978.64 × 2,037.20
  4. Step 4: Simplify right side
    5,985.28x = 18,291,285.41
  5. Step 5: Solve for x
    x = 18,291,285.41/5,985.28
  6. Step 6: Final answer
    x = 3,056.05

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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.