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Finding the Fourth Proportional to 3,973.98, 5,963.34 and 1,509.12

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Solution

The fourth proportional to 3,973.98, 5,963.34 and 1,509.12 is: 2,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.98 : 5,963.34 = 1,509.12 : x
  2. Step 2: Convert to fraction form
    3,973.98/5,963.34 = 1,509.12/x
  3. Step 3: Cross multiply
    3,973.98x = 5,963.34 × 1,509.12
  4. Step 4: Simplify right side
    3,973.98x = 8,999,395.66
  5. Step 5: Solve for x
    x = 8,999,395.66/3,973.98
  6. Step 6: Final answer
    x = 2,264.58

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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.