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Finding the Fourth Proportional to 6,005.66, 9,000.30 and 3,810.46

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Solution

The fourth proportional to 6,005.66, 9,000.30 and 3,810.46 is: 5,710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.66 : 9,000.30 = 3,810.46 : x
  2. Step 2: Convert to fraction form
    6,005.66/9,000.30 = 3,810.46/x
  3. Step 3: Cross multiply
    6,005.66x = 9,000.30 × 3,810.46
  4. Step 4: Simplify right side
    6,005.66x = 34,295,260.64
  5. Step 5: Solve for x
    x = 34,295,260.64/6,005.66
  6. Step 6: Final answer
    x = 5,710.49

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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.