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Finding the Fourth Proportional to 6,037.50, 9,056.22 and 3,666.18

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Solution

The fourth proportional to 6,037.50, 9,056.22 and 3,666.18 is: 5,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,037.50 : 9,056.22 = 3,666.18 : x
  2. Step 2: Convert to fraction form
    6,037.50/9,056.22 = 3,666.18/x
  3. Step 3: Cross multiply
    6,037.50x = 9,056.22 × 3,666.18
  4. Step 4: Simplify right side
    6,037.50x = 33,201,732.64
  5. Step 5: Solve for x
    x = 33,201,732.64/6,037.50
  6. Step 6: Final answer
    x = 5,499.25

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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.