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Finding the Fourth Proportional to 6,037.92, 9,057.15 and 1,655.82

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Solution

The fourth proportional to 6,037.92, 9,057.15 and 1,655.82 is: 2,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,037.92 : 9,057.15 = 1,655.82 : x
  2. Step 2: Convert to fraction form
    6,037.92/9,057.15 = 1,655.82/x
  3. Step 3: Cross multiply
    6,037.92x = 9,057.15 × 1,655.82
  4. Step 4: Simplify right side
    6,037.92x = 14,997,010.11
  5. Step 5: Solve for x
    x = 14,997,010.11/6,037.92
  6. Step 6: Final answer
    x = 2,483.80

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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.