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Finding the Fourth Proportional to 3,985.72, 5,973.10 and 2,033.82

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Solution

The fourth proportional to 3,985.72, 5,973.10 and 2,033.82 is: 3,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.72 : 5,973.10 = 2,033.82 : x
  2. Step 2: Convert to fraction form
    3,985.72/5,973.10 = 2,033.82/x
  3. Step 3: Cross multiply
    3,985.72x = 5,973.10 × 2,033.82
  4. Step 4: Simplify right side
    3,985.72x = 12,148,210.24
  5. Step 5: Solve for x
    x = 12,148,210.24/3,985.72
  6. Step 6: Final answer
    x = 3,047.93

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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.